Welcome to the dividing fractions calculator, where you can easily calculate the division of two fractions. The fractions can be proper fractions, improper fractions or mixed fractions. Any combination between them can be calculated. The calculator can also calculate the division of fractions and integers, the division of fractions and decimals and so on.
How to calculate the division of two fractions?
Fraction division is the reverse operation of fraction multiplication, so the principle of fraction division is: the dividend is multiplied by the reciprocal of another fraction. In other word, the numerator of the dividend is multiplied by the denominator of the divisor as the numerator, and the denominator of the dividend is multiplied by the numerator of the divisor as the denominator. Finally, simplify the fraction.
12 ÷ 13
= 12 * 31
= 1 * 32 * 1
= 32
Of course, there are various forms of fraction division, such as the division between improper fractions and mixed fractions, dividing fractions with decimals, the division of mixed fractions and whole numbers and so on. Therefore, in order to reduce the amount of calculation and improve work efficiency, we have developed this free online dividing fractions calculator, which can solve at least the following 21 problems:
- Division of proper fractions
- Dividing proper fractions with improper fractions
- Dividing proper fractions with mixed fractions
- Dividing proper fractions with whole numbers
- Dividing proper fractions with decimals
- Division of two improper fractions
- Dividing improper fractions with proper fractions
- Dividing improper fractions with mixed fractions
- Dividing improper fractions with whole numbers
- Dividing improper fractions with decimals
- Division of two mixed fractions
- Dividing mixed fractions with proper fractions
- Dividing mixed fractions with improper fractions
- Dividing mixed fractions with whole numbers
- Dividing mixed fractions with decimals
- Dividing whole numbers with proper fractions
- Dividing whole numbers with improper fractions
- Dividing whole numbers with mixed fractions
- Dividing decimals with proper fractions
- Dividing decimals with improper fractions
- Dividing decimals with mixed fractions
Here are some examples to see how they are calculated and how the calculator is used.
21 questions can be solved by dividing fractions calculator
1. Division of proper fractions
For example, What is the division of 13 and 15?
13 ÷ 15
= 13 * 51
= 1 * 53 * 1
= 53
= 123
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 division of 13 and 15 is 123.
2. Dividing proper fractions with improper fractions
For example, What is the division of 74 and 13?
It can be calculated as the common fractions.
74 ÷ 13
= 74 * 31
= 7 * 34 * 1
= 214
= 514
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 division of 74 and 13 is 514.
3. Dividing proper fractions with mixed fractions
For example, What is the division of 518 and 12?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
518 ÷ 12
= 418 ÷ 12
= 418 * 21
= 41 * 28 * 1
= 828
= 1014
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 division of 518 and 12 is 1014.
4. Dividing proper fractions with whole numbers
For example, What is the division of 10 and 13?
It can be calculated as the common fractions.
10 ÷ 13
= 10 * 31
= 10 * 31
= 301
= 30
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 division of 10 and 13 is 30.
5. Dividing proper fractions with decimals
For example, What is the division of 0.83 and 14?
First, convert the decimal to a fraction. Then, follow the normal steps to calculate.
0.83 ÷ 14
= 83100 ÷ 14
= 83100 * 41
= 83 * 4100 * 1
= 332100
= 3825
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 division of 0.83 and 14 is 3825.
6. Division of two improper fractions
For example, What is the division of 52 and 73?
It can be calculated as a common fractions.
52 ÷ 73
= 52 * 37
= 5 * 32 * 7
= 1514
= 1114
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 division of 52 and 73 is 1114.
7. Dividing improper fractions with proper fractions
For example, What is the division of 14 and 83?
Just consider the improper fraction as common fraction, then calculate it.
14 ÷ 83
= 14 * 38
= 1 * 34 * 8
= 332
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 division of 14 and 83 is 332.
8. Dividing improper fractions with mixed fractions
For example, What is the division of 635 and 83?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
635 ÷ 83
= 335 ÷ 83
= 335 * 38
= 33 * 35 * 8
= 9940
= 21940
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 division of 635 and 83 is 21940.
9. Dividing improper fractions with whole numbers
For example, What is the division of 25 and 83?
Same as dividing proper fractions with whole numbers.
25 ÷ 83
= 25 * 38
= 25 * 38
= 758
= 938
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 division of 25 and 83 is 938.
10. Dividing improper fractions with decimals
For example, What is the division of 1.25 and 156?
First, convert the decimal to a fraction. Then, follow the normal steps to calculate.
1.25 ÷ 156
= 54 ÷ 156
= 54 * 615
= 5 * 64 * 15
= 3060
= 12
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 division of 1.25 and 156 is 12.
11. Division of two mixed fractions
For example, What is the division of 225 and 918?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
225 ÷ 918
= 125 ÷ 738
= 125 * 873
= 12 * 85 * 73
= 96365
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 division of 225 and 918 is 96365.
12. Dividing mixed fractions with proper fractions
For example, What is the division of 12 and 316?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
12 ÷ 316
= 12 ÷ 196
= 12 * 619
= 1 * 62 * 19
= 638
= 319
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 division of 12 and 316 is 319.
13. Dividing mixed fractions with improper fractions
For example, What is the division of 83 and 235?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
83 ÷ 235
= 83 ÷ 135
= 83 * 513
= 8 * 53 * 13
= 4039
= 1139
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 division of 83 and 235 is 1139.
14. Dividing mixed fractions with whole numbers
For example, What is the division of 30 and 519?
You need to convert the whole number and mixed fraction to the improper fractions first, and then calculate it.
30 ÷ 519
= 30 ÷ 469
= 30 * 946
= 30 * 946
= 27046
= 52023
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 division of 30 and 519 is 52023.
15. Dividing mixed fractions with decimals
For example, What is the division of 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 * 522
= 149 * 525 * 22
= 745550
= 139110
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 division of 5.96 and 425 is 139110.
16. Dividing whole numbers with proper fractions
For example, What is the division of 18 and 4?
Convert the whole number to an improper fraction first, then calculate it.
18 ÷ 4
= 18 * 14
= 1 * 18 * 4
= 132
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 division of 18 and 4 is 132.
17. Dividing whole numbers with improper fractions
For example, What is the division of 173 and 5?
Dividing by 5 can be regarded as the reciprocal of multiplying by 5, and then calculated according to the rules of fraction multiplication.
173 ÷ 5
= 173 * 15
= 17 * 13 * 5
= 1715
= 1215
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 division of 173 and 5 is 1215.
18. Dividing whole numbers with mixed fractions
For example, What is the division of 238 and 12?
238 ÷ 12
= 198 ÷ 12
= 198 * 112
= 19 * 18 * 12
= 1996
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 division of 238 and 12 is 1996.
19. Dividing decimals with proper fractions
For example, What is the division of 25 and 1.25?
First, convert the decimal to a fraction, then calculate it.
25 ÷ 1.25
= 25 ÷ 54
= 25 * 45
= 2 * 45 * 5
= 825
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 division of 25 and 1.25 is 825.
20. Dividing decimals with improper fractions
For example, What is the division of 98 and 0.6?
First, convert the decimal to a fraction. Then, follow the normal steps to calculate.
98 ÷ 0.6
= 98 ÷ 35
= 98 * 53
= 9 * 58 * 3
= 4524
= 178
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 division of 98 and 0.6 is 178.
21. Dividing decimals with mixed fractions
For example, What is the division of 914 and 0.125?
First, convert the mixed fraction into an improper fraction and convert the decimal to a fraction. Then, calculate it.
914 ÷ 0.125
= 374 ÷ 18
= 374 * 81
= 37 * 84 * 1
= 2964
= 74
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 division of 914 and 0.125 is 74.
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