Welcome to the subtracting fractions calculator, where you can easily solve the difference between two fractions. The fractions can be common fractions, improper fractions or mixed fractions. Any combination between them can be calculated. The calculator can also calculate the difference between a fraction and a whole number, and the difference between a fraction and a decimal.
How to calculate the difference between two fractions?
Fraction subtraction is one of the basic operations of fractions. Fraction subtraction is the inverse operation of fraction addition. Therefore, its calculation principle is the same as that of fraction addition:
- If the denominators of two fractions are the same, the denominator remains unchanged and the numerators can be subtracted.
For example, difference between 58 and 18
58 – 18
= 5 – 18
= 48
= 12
- If the denominators of two fractions are different, you must reduction of fractions to a common denominator first. Convert the denominators into the same by the least common multiple. Next, calculate according to the same denominator calculation rule. Note that as the denominator changes, so does the numerator.
For example, difference between 12 and 13
12 – 13
= 1 * 32 * 3 – 1 * 23 * 2
= 3 – 26
= 16
- If there is a mixed fraction, first convert the mixed fraction into an improper fraction, and then calculate according to Principle 1 or Principle 2 based on whether the denominators of the two fractions are the same.
For example, difference between 215 and 13
215 – 13
= 115 – 13
= 11 * 35 * 3 – 1 * 53 * 5
= 33 – 515
= 2815
= 11315
Please note that if the result is not the simplest fraction, you need to simplify the fraction.
Of course, there are various forms of fraction subtraction, such as subtracting improper fractions with mixed fractions, subtracting improper fractions from decimals, subtracting mixed fractions with whole numbers, and so on. Therefore, in order to reduce the amount of calculation and improve work efficiency, we have developed this free online subtracting fractions calculator, which can solve at least the following 21 questions:
- Subtraction of two proper fractions
- Subtracting proper fraction with improper fraction
- Subtracting proper fraction with mixed fraction
- Subtracting proper fraction with whole number
- Subtracting proper fraction with decimal
- Subtraction of two improper fractions
- Subtracting improper fraction with proper fraction
- Subtracting improper fraction with mixed fraction
- Subtracting improper fraction with whole number
- Subtracting improper fraction with decimals
- Subtraction of two mixed fractions
- Subtracting mixed fraction with proper fraction
- Subtracting mixed fraction with improper fraction
- Subtracting mixed fraction with whole number
- Subtracting mixed fraction with decimals
- Proper fraction minus whole number
- Improper fraction minus whole number
- Mixed fraction minus whole number
- Proper fraction minus decimals
- Improper fraction minus decimals
- Mixed fraction minus decimals
Here are some examples to see how they are calculated and how the calculator is used.
21 questions can be solved by subtracting fractions calculator
1. Subtraction of two proper fractions
For example, What is the difference between 13 and 15?
13 and 15 are both true fractions. According to the above principle, convert the denominators to be consistent and the numerators can be subtracted.
13 – 15
= 1 * 53 * 5 – 1 * 35 * 3
= 515 – 315
= 5 – 315
= 215
Use the calculator to calculate:
- Enter 1 into the numerator value 1 input box;
- Enter 3 into the denominator value 1 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 5 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 13 and 15 is 215.
2. Subtracting proper fraction with improper fraction
For example, What is the difference between 74 and 13?
It can be calculated as the common fractions.
74 – 13
= 7 * 34 * 3 – 1 * 43 * 4
= 2112 – 412
= 21 – 412
= 1712
= 1512
Use the calculator to calculate:
- Enter 7 into the numerator value 1 input box;
- Enter 4 into the denominator value 1 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 3 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 74 and 13 is 1512.
3. Subtracting proper fraction with mixed fraction
For example, What is the difference between 518 and 12?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
518 – 12
= 418 – 12
= 418 – 1 * 42 * 4
= 418 – 48
= 41 – 48
= 378
= 458
Use the calculator to calculate:
- Enter 5 into the whole number 1 input box;
- Enter 1 into the numerator value 1 input box;
- Enter 8 into the denominator value 1 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 2 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 518 and 12 is 458.
4. Subtracting proper fraction with whole number
For example, What is the difference between 10 and 13?
You need to convert the whole number to an improper fraction first, and then calculate it.
10 – 13
= 303 – 13
= 30 – 13
= 293
= 923
Use the calculator to calculate:
- Enter 10 into the whole number 1 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 3 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 10 and 13 is 923.
5. Subtracting proper fraction with decimals
For example, What is the difference between 0.83 and 14?
First, convert the decimal to a fraction. Then, follow the normal steps to calculate.
0.83 – 14
= 83100 – 14
= 83100 – 1 * 254 * 25
= 83100 – 25100
= 83 – 25100
= 58100
= 2950
Use the calculator to calculate:
- Enter 0.83 into the whole number 1 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 4 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 0.83 and 14 is 2950.
6. Subtraction of two improper fractions
For example, What is the difference between 52 and 73?
It can be calculated as a common fractions.
52 – 73
= 5 * 32 * 3 – 7 * 23 * 2
= 156 – 146
= 15 – 146
= 16
Use the calculator to calculate:
- Enter 5 into the numerator value 1 input box;
- Enter 2 into the denominator value 1 input box;
- Enter 7 into the numerator value 2 input box;
- Enter 3 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 52 and 73 is 16.
7. Subtracting improper fraction with proper fraction
For example, What is the difference between 14 and 83?
Just consider the improper fraction as common fraction, then calculate it.
14 – 83
= 1 * 34 * 3 – 8 * 43 * 4
= 312 – 3212
= 3 – 3212
= –2912
= -2512
Use the calculator to calculate:
- Enter 1 into the numerator value 1 input box;
- Enter 4 into the denominator value 1 input box;
- Enter 8 into the numerator value 2 input box;
- Enter 3 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 14 and 83 is -2512.
8. Subtracting improper fraction with mixed fraction
For example, What is the difference between 635 and 83?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
635 – 83
= 335 – 83
= 33 * 35 * 3 – 8 * 53 * 5
= 9915 – 4015
= 99 – 4015
= 5915
= 31415
Use the calculator to calculate:
- Enter 6 into the whole number 1 input box;
- Enter 3 into the numerator value 1 input box;
- Enter 5 into the denominator value 1 input box;
- Enter 8 into the numerator value 2 input box;
- Enter 3 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 635 and 83 is 31415.
9. Subtracting improper fraction with whole number
For example, What is the difference between 25 and 83?
Same as subtracting proper fraction with whole number.
25 – 83
= 753 – 83
= 75 – 83
= 673
= 2213
Use the calculator to calculate:
- Enter 25 into the whole number 1 input box;
- Enter 8 into the numerator value 2 input box;
- Enter 3 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 25 and 83 is 2213.
10. Subtracting improper fraction with decimals
For example, What is the difference between 1.25 and 156?
First, convert the decimal to a fraction. Then, follow the normal steps to calculate.
1.25 – 156
= 54 – 156
= 5 * 34 * 3 – 15 * 26 * 2
= 1512 – 3012
= 15 – 3012
= –1512
= -114
Use the calculator to calculate:
- Enter 1.25 into the whole number 1 input box;
- Enter 15 into the numerator value 2 input box;
- Enter 6 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 1.25 and 156 is -114.
11. Subtraction of two mixed fractions
For example, What is the difference between 225 and 918?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
225 – 918
= 125 – 738
= 12 * 85 * 8 – 73 * 58 * 5
= 9640 – 36540
= 96 – 36540
= –26940
= -62940
Use the calculator to calculate:
- Enter 2 into the whole number 1 input box;
- Enter 2 into the numerator value 1 input box;
- Enter 5 into the denominator value 1 input box;
- Enter 9 into the whole number 2 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 8 into the denominator value 2 input box;
- Finally, click calculate button.
As the picture shows, the difference between 225 and 918 is -62940.
12. Subtracting mixed fraction with proper fraction
For example, What is the difference between 12 and 316?
First, convert the mixed fraction into an improper fraction. Then, calculate according to the above principles.
12 – 316
= 12 – 3 * 6 + 16
= 12 – 196
= 1 * 3 – 196
= –166
= -223
Use the calculator to calculate:
- Enter 1 into the numerator value 1 input box;
- Enter 2 into the denominator value 1 input box;
- Enter 3 into the whole number 2 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 6 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 12 and 316 is -223.
13. Subtracting mixed fraction with improper fraction
For example, What is the difference between 83 and 235?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
83 – 235
= 83 – 135
= 8 * 53 * 5 – 13 * 35 * 3
= 4015 – 3915
= 40 – 3915
= 115
Use the calculator to calculate:
- Enter 8 into the numerator value 1 input box;
- Enter 3 into the denominator value 1 input box;
- Enter 2 into the whole number 2 input box;
- Enter 3 into the numerator value 2 input box;
- Enter 5 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 83 and 235 is 115.
14. Subtracting mixed fraction with whole number
For example, What is the difference between 30 and 519?
You need to convert the whole number and mixed fraction to the improper fractions first, and then calculate it.
30 – 519
= 2709 – 5 * 9 + 19
= 270 – 469
= 2249
= 2489
Use the calculator to calculate:
- Enter 30 into the whole number 1 input box;
- Enter 5 into the whole number 2 input box;
- Enter 1 into the numerator value 2 input box;
- Enter 9 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 30 and 519 is 2489.
15. Subtracting mixed fraction with decimals
For example, What is the difference between 5.96 and 425?
First, convert the decimal to a fraction and convert the mixed fraction into an improper fraction. Then, follow the normal steps to calculate.
5.96 – 425
= 14925 – 225
= 14925 – 22 * 55 * 5
= 14925 – 11025
= 149 – 11025
= 3925
= 11425
Use the calculator to calculate:
- Enter 5.96 into the whole number 1 input box;
- Enter 4 into the whole number 2 input box;
- Enter 2 into the numerator value 2 input box;
- Enter 5 into the denominator value 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 5.96 and 425 is 11425.
16. Proper fraction minus whole number
For example, What is the difference between 18 and 4?
Convert the whole number to an improper fraction first, then calculate it.
18 – 4
= 18 – 328
= 1 – 328
= –318
= -378
Use the calculator to calculate:
- Enter 1 into the numerator value 1 input box;
- Enter 8 into the denominator value 1 input box;
- Enter 4 into the whole number 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 18 and 4 is -318.
17. Improper fraction minus whole number
For example, What is the difference between 173 and 5?
Same as proper fraction minus whole number.
173 – 5
= 173 – 153
= 17 – 153
= 23
Use the calculator to calculate:
- Enter 17 into the numerator value 1 input box;
- Enter 3 into the denominator value 1 input box;
- Enter 5 into the whole number 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 173 and 5 is 23.
18. Mixed fraction minus whole number
For example, What is the difference between 238 and 12?
Same as proper fraction minus whole number.
238 – 12
= 2 * 8 + 38 – 968
= 198 – 968
= 19- 968
= –778
= -958
Use the calculator to calculate:
- Enter 2 into the whole number 1 input box;
- Enter 3 into the numerator value 1 input box;
- Enter 8 into the denominator value 1 input box;
- Enter 12 into the whole number 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 238 and 12 is -958.
19. Proper fraction minus decimals
For example, What is the difference between 25 and 1.25?
First, convert the decimal to a fraction. Then, calculate according to the above principles.
25 – 1.25
= 25 – 54
= 2 * 45 * 4 – 5 * 54 * 5
= 820 – 2520
= 8 – 2520
= –1720
Use the calculator to calculate:
- Enter 2 into the numerator value 1 input box;
- Enter 5 into the denominator value 1 input box;
- Enter 1.25 into the whole number 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 25 and 1.25 is –1720.
20. Improper fraction minus decimals
For example, What is the difference between 98 and 0.6?
First, convert the decimal to a fraction. Then, follow the normal steps to calculate.
98 – 0.6
= 98 – 35
= 9 * 58 * 5 – 3 * 85 * 8
= 4540 – 2440
= 45 – 2440
= 2140
Use the calculator to calculate:
- Enter 9 into the numerator value 1 input box;
- Enter 8 into the denominator value 1 input box;
- Enter 0.6 into the whole number 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 98 and 0.6 is 2140.
21. Mixed fraction minus decimals
For example, What is the difference between 914 and 0.125?
First, convert the mixed fraction into an improper fraction and convert the decimal to a fraction. Then, calculate according to the above principles.
914 – 0.125
= 374 – 18
= 37 * 24 * 2 – 18
= 748 – 18
= 74 – 18
= 738
= 918
Use the calculator to calculate:
- Enter 9 into the whole number 1 input box;
- Enter 1 into the numerator value 1 input box;
- Enter 4 into the denominator value 1 input box;
- Enter 0.125 into the whole number 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the difference between 914 and 0.125 is 918.
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