Welcome to the adding fractions calculator, where you can easily solve the sum of two fractions. The fractions here can be common fractions, improper fractions or mixed fractions. Any combination between them can be calculated. The calculator can also calculate the sum of fractions and whole numbers, and the sum of fractions and decimals.
How to calculate the sum of two fractions?
We know that there are three forms of fractions: proper fractions, improper fractions and mixed fractions. To calculate the sum of two fractions, there is a big rule: that is, the denominator should be the same, and then the numerators can be added.
If the denominators are different, you must reduction of fractions to a common denominator first. Convert the denominators into the same by the least common multiple. Note that, the numerators will change during this process. Next, calculate according to the above principles.
If it is a mixed fraction, you need to convert the mixed fraction into an improper fraction first, then calculate it according to the above principles.
Finally, remember to simplify the fraction.
Addition of fractional numbers with same denominations
15 + 45
= 1 + 45
= 55
= 1
Addition of fractional numbers, with different denominations
12 + 13
= 1 * 32 * 3 + 1 * 23 * 2
= 36 + 26
= 3 + 26
= 56
Of course, these two are simple examples. In work, we often encounter addition calculations between different forms of fractions, such as the addition of improper fractions and mixed fractions, the addition of common fractions and mixed fractions. Even the sum between the fraction and the whole number, the sum between the fraction and the decimal, and so on. Manual calculation is really troublesome. Therefore, we have fully considered various situations and developed this free online fraction addition calculator. This calculator can help you solve at least the following 21 questions:
- Adding two proper fractions
- Adding proper fraction with improper fraction
- Adding proper fraction with mixed fraction
- Adding proper fraction with whole number
- Adding proper fraction with decimals
- Adding two improper fractions
- Adding improper fraction with proper fraction
- Adding improper fraction with mixed fraction
- Adding improper fraction with whole number
- Adding improper fraction with decimals
- Adding two mixed fractions
- Adding mixed fraction with proper fraction
- Adding mixed fraction with improper fraction
- Adding mixed fraction with whole number
- Adding mixed fraction with decimals
- Adding whole number with proper fraction
- Adding whole number with improper fraction
- Adding whole number with mixed fraction
- Adding decimals with proper fraction
- Adding decimals with improper fraction
- Adding decimals with mixed fraction
21 questions can be solved by adding fractions calculator
1. Adding two proper fractions
For example, What is the sum of 13 and 15?
13 and 15 are both true fractions. According to the above principle, convert the denominators to be consistent and add the numerators.
13 + 15
= 1 * 53 * 5 + 1 * 35 * 3
= 515 + 315
= 5 + 315
= 815
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 sum of 13 and 15 is 815.
2. Adding proper fraction with improper fraction
For example, What is the sum of 74 and 13?
It can be calculated as the common fractions.
74 + 13
= 7 * 34 * 3 + 1 * 43 * 4
= 2112 + 412
= 21 + 412
= 2512
= 2112
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 sum of 74 and 13 is 2112.
3. Adding proper fraction with mixed fraction
For example, What is the sum of 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
= 458
= 558
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 sum of 518 and 12 is 558.
4. Adding proper fraction with whole number
For example, What is the sum of 10 and 13?
Just combine whole number and fraction directly.
10 + 13
= 1013
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 sum of 10 and 13 is 1013.
5. Adding proper fraction with decimals
For example, What is the sum 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 + 1 * 254 * 25
= 83100 + 25100
= 83 + 25100
= 108100
= 1225
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 sum of 0.83 and 14 is 1225.
6. Adding two improper fractions
For example, What is the sum of 52 and 73?
It can be calculated as a common fractions.
52 + 73
= 5 * 32 * 3 + 7 * 23 * 2
= 156 + 146
= 15 + 146
= 296
= 456
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 sum of 52 and 73 is 456.
7. Adding improper fraction with proper fraction
For example, What is the sum of 14 and 83?
Just consider the improper fraction as common fraction. According to the above principle, convert the denominators to be consistent and add the numerators.
14 + 83
= 1 * 34 * 3 + 8 * 43 * 4
= 312 + 3212
= 3 + 3212
= 3512
= 21112
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 sum of 14 and 83 is 21112.
8. Adding improper fraction with mixed fraction
For example, What is the sum of 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
= 13915
= 9415
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 sum of 635 and 83 is 9415.
9. Adding improper fraction with whole number
For example, What is the sum of 25 and 83?
Same as adding whole numbers with proper fractions.
25 + 83
= 2583
= 2723
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 sum of 25 and 83 is 2723.
10. Adding improper fraction with decimals
For example, What is the sum of 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
= 4512
= 334
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 sum of 1.25 and 156 is 334.
11. Adding two mixed fractions
For example, What is the sum of 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
= 46140
= 112140
Or the whole number is added to the whole number part, the fraction is added to the fraction part.
225 + 918
= (2 + 9) + (25 + 18)
= 11 + (2 * 85 * 8 + 1 * 58 * 5)
= 11 + (1640 + 540)
= 11 + 16 + 540
= 11 + 2140
= 112140
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 sum of 225 and 918 is 112140.
12. Adding mixed fraction with proper fraction
For example, What is the sum of 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
= 226
= 323
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 sum of 12 and 316 is 323.
13. Adding mixed fraction with improper fraction
For example, What is the sum of 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
= 7915
= 5415
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 sum of 83 and 235 is 5415.
14. Adding mixed fraction with whole number
For example, What is the sum of 30 and 519?
The fractional part remains unchanged, the whole numbers are added.
30 + 519
= (30 + 5)19
= 3519
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 sum of 30 and 519 is 3519.
15. Adding mixed fraction with decimals
For example, What is the sum 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 + 22 * 55 * 5
= 14925 + 11025
= 149 + 11025
= 25925
= 10925
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 sum of 5.96 and 425 is 10925.
16. Adding whole number with proper fraction
For example, What is the sum of 18 and 4?
It’s very simple, just combine integers and fractions directly.
18 + 4
= 418
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 sum of 18 and 4 is 418.
17. Adding whole number with improper fraction
For example, What is the sum of 173 and 5?
Combine whole numbers and fractions directly, and then simplify the fraction.
173 + 5
= 5173
= 1023
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 sum of 173 and 5 is 1023.
18. Adding whole number with mixed fraction
For example, What is the sum of 238 and 12?
Just add the whole number and the whole number part directly.
238 + 12
= (2 + 12)38
= 1438
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 sum of 238 and 12 is 1438.
19. Adding decimals with proper fraction
For example, What is the sum of 25 and 0.25?
First, convert the decimal to a fraction. Then, calculate according to the above principles.
25 + 0.25
= 25 + 14
= 2 * 45 * 4 + 1 * 54 * 5
= 820 + 520
= 8 + 520
= 1320
Use the calculator to calculate:
- Enter 2 into the numerator value 1 input box;
- Enter 5 into the denominator value 1 input box;
- Enter 0.25 into the whole number 2 input box;
- Do not enter other input boxes, click calculate button.
As the picture shows, the sum of 25 and 0.25 is 1320.
20. Adding decimals with improper fraction
For example, What is the sum of 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
= 6940
= 12940
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 sum of 98 and 0.6 is 12940.
21. Adding decimals with mixed fraction
For example, What is the sum of 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
= 758
= 938
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 sum of 914 and 0.125 is 938.
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