Welcome to the multiplying fractions calculator, where you can easily calculate the product 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 product of fractions and integers, the product of fractions and decimals and so on.
How to calculate the product of two fractions?
Compared with the addition and subtraction of two fractions, the multiplication of two fractions is relatively simple. The numerator is multiplied by the numerator, the denominator is multiplied by the denominator, and then simplify the fraction to get the answer.
For example, 12 times 13
12 * 13
= 1 * 12 * 3
= 16
Of course, some situations need special treatment.
- When multiplying mixed fractions, you need to convert the mixed fractions into improper fractions, and then follow the multiplication of ordinary fractions.
- When multiplying a fraction and an integer, the product of the numerator of fraction and the integer is used as the numerator, and the denominator remains unchanged.
- When a fraction is multiplied by a decimal, it is necessary to convert the decimal into a fraction first, and then calculate it according to the multiplication of ordinary fractions.
Note: No matter what the situation is, the results obtained need to be simplified to the simplest form.
Therefore, in order to reduce the amount of calculation and improve work efficiency, we have developed this free online multiplying fractions calculator, which can solve at least the following 12 questions:
- Multiplication of proper fractions
- Multiplying proper fractions with improper fractions
- Multiplying proper fractions with mixed fractions
- Multiplying proper fractions with whole numbers
- Multiplying proper fractions with decimals
- Multiplication of improper fractions
- Multiplying improper fractions with mixed fractions
- Multiplying improper fractions with whole numbers
- Multiplying improper fractions with decimals
- Multiplication of mixed fractions
- Multiplying mixed fractions with whole numbers
- Multiplying mixed fractions with decimals
Here are some examples to see how they are calculated and how the calculator is used.
12 questions can be solved by multiplying fractions calculator
1. Multiplication of proper fractions
For example, What is the product of 13 and 15?
The most common form of fraction, the numerator is multiplied by the numerator, the denominator is multiplied by the denominator.
13 * 15
= 1 * 13 * 5
= 115
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 product of 13 and 15 is 115.
2. Multiplying proper fractions with improper fractions
For example, What is the product of 74 and 13?
It can be calculated as the common fractions.
74 * 13
= 7 * 14 * 3
= 712
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 product of 74 and 13 is 712.
3. Multiplying proper fractions with mixed fractions
For example, What is the product of 518 and 12?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
518 * 12
= 418 * 12
= 41 * 18 * 2
= 4116
= 2916
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 product of 518 and 12 is 2916.
4. Multiplying proper fractions with whole numbers
For example, What is the product of 10 and 13?
According to the second case provided above, multiply the integer by the numerator.
10 * 13
= 10 * 13
= 103
= 313
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 product of 10 and 13 is 313.
5. Multiplying proper fractions with decimals
For example, What is the product of 0.83 and 14?
First, convert the decimal to a fraction. Then, follow the normal steps to calculate.
0.83 * 14
= 83100 * 14
= 83 * 1100 * 4
= 83400
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 product of 0.83 and 14 is 83400.
6. Multiplication of improper fractions
For example, What is the product of 52 and 73?
It can be calculated as a common fractions.
52 * 73
= 5 * 72 * 3
= 356
= 556
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 product of 52 and 73 is 556.
7. Multiplying improper fractions with mixed fractions
For example, What is the product of 635 and 83?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
635 * 83
= 335 * 83
= 33 * 85 * 3
= 26415
= 1735
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 product of 635 and 83 is 1735.
8. Multiplying improper fractions with whole numbers
For example, What is the product of 25 and 83?
According to the second case provided above, the integer is multiplied by the numerator and the denominator remains unchanged.
25 * 83
= 25 * 83
= 2003
= 6623
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 product of 25 and 83 is 6623.
9. Multiplying improper fractions with decimals
For example, What is the product 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 * 154 * 6
= 7524
= 318
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 product of 1.25 and 156 is 318.
10. Multiplication of mixed fractions
For example, What is the product of 225 and 918?
First, convert the mixed fraction into an improper fraction, then calculate according to ordinary fractions.
225 * 918
= 125 * 738
= 12 * 735 * 8
= 87640
= 21910
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 product of 225 and 918 is 21910.
11. Multiplying mixed fractions with whole numbers
For example, What is the product of 30 and 519?
You need to convert the mixed fraction to an improper fraction first, and then calculate it.
30 * 519
= 30 * 469
= 30 * 469
= 13809
= 15313
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 product of 30 and 519 is 15313.
12. Multiplying mixed fractions with decimals
For example, What is the product 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
= 149 * 2225 * 5
= 3278125
= 2628125
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 product of 5.96 and 425 is 2628125.
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