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Multiply simple fraction calculator

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5
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25

Simple fraction multiplication formula

a b × c d = a × c b × d

More about simple fraction multiplication

Tricks

1. Cancel out common factors between numerators and denominators before performing multiplying.
2. Also cancel out common factors across the numerator of one fraction with the denominator of another to simplify calculations.
3. Ensure that the result is always smaller than both fractions because the result represents a fraction of a fraction.

Rules

1. A numerator can only be multiplied by a numerator, and a denominator can only be multiplied by a denominator.
2. Multiplication of two or more fractions does not require a common denominator.
3. If the resulting fraction can be simplified, simplify it.

Practise simple fraction multiplication

Examples

Example 1: Find the simple fraction multiplication of 3/5 × 2/5.
Solution: Multiply the numerators and denominators i.e 3 × 2 = 6 and 5 × 5 = 25
Simple fraction multiplication of 3/5 × 2/5 = 6/25.

Example 2: Find the simple fraction multiplication of 8/10 × 6/12.
Solution: Multiply the numerators and denominators i.e 8 × 6 = 48 and 10 × 12 = 120
Reduce fraction to its simplest form i.e 48/120 = 2/5
Simple fraction multiplication of 8/10 × 6/12 = 2/5.

Example 3: Find the simple fraction multiplication of 14/20 × 5/9.
Solution: Multiply the numerators and denominators i.e 14 × 5 = 70 and 20 × 9 = 180
Reduce fraction to its simplest form i.e 70/180 = 7/18
Simple fraction multiplication of 14/20 × 5/9 = 7/18.

Example 4: Find the simple fraction multiplication of 11/12 × 7/8.
Solution: Multiply the numerators and denominators i.e 11 × 7 = 77 and 12 × 8 = 96
Simple fraction multiplication of 11/12 × 7/8 = 77/96.

Example 5: Find the simple fraction multiplication of 15/7 × 12/9.
Solution: Multiply the numerators and denominators i.e 15 × 12 = 180 and 7 × 9 = 63
Reduce fraction to its simplest form i.e 180/63 = 20/7
Simple fraction multiplication of 15/7 × 12/9 = 20/7.

Exercise

1. 2/4 × 4/4 = 1/2
 2. 5/6 × 8/9 = 20/27
 3. 16/12 × 9/4 = 3/1
 4. 4/7 × 6/12 = 2/7
 5. 15/10 × 7/20 = 21/40
 6. 13/16 × 10/3 = 65/24
 7. 12/16 × 5/13 = 15/52
 8. 5/7 × 6/11 = 30/77
 9. 11/12 × 6/7 = 11/14
 10. 4/8 × 12/9 = 2/3

Multiply simple fraction calculator FAQ

What is a simple fraction multiplication?
The simple fraction multiplication is the process of multiplying two or more fractions to obtain a single fraction. This involves multiplying the numerators together to get the new numerator and the denominators together to get the new denominator.
What are the steps to find simple fraction multiplication?
Step 1: Multiply both the numerators.
Step 2: Multiply both the denominator.
Step 3: Reduce fraction to its simplest form.
How to multiply simple fractions with whole numbers?
If one of the fractions is a whole number, convert it into a fraction by putting it over 1, and then proceed with the multiplication.
Could you provide examples from real-life scenarios where the multiplication of simple fractions is commonly applied?
Multiplication of simple fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, and design for combining quantities. For example, in finance, if an investment offers a quarterly return rate of 2/7 and another investment provides a monthly return rate of 4/9, by multiplying these fractions gives 8/63 which is total compounded return on the investments for the year.
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