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Multiply proper fraction calculator

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Proper fraction multiplication formula

a b × c d = a × c b × d

More about proper 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 proper fraction multiplication

Examples

Example 1: Find the proper fraction multiplication of 1/2 × 2/3.
Solution: Multiply the numerators and denominators i.e 1 × 2 = 2 and 2 × 3 = 6
Reduce to simple form i.e 2/6 = 1/3
Proper fraction multiplication of 1/2 × 2/3 = 1/3.

Example 2: Find the proper fraction multiplication of 5/11 × 7/10.
Solution: Multiply the numerators and denominators i.e 5 × 7 = 35 and 11 × 10 = 110
Reduce to simple form i.e 35/110 = 7/22
Proper fraction multiplication of 5/11 × 7/10 = 7/22.

Example 3: Find the proper fraction multiplication of 3/12 × 4/11.
Solution: Multiply the numerators and denominators i.e 3 × 4 = 12 and 12 × 11= 132
Reduce to simple form i.e 12/132 = 1/11
Proper fraction multiplication of 3/12 × 4/11 = 1/11.

Example 4: Find the proper fraction multiplication of 7/8 × 7/16.
Solution: Multiply the numerators and denominators i.e 7 × 7 = 49 and 8 × 16 = 128
Proper fraction multiplication of 7/8 × 7/16 = 49/128.

Example 5: Find the proper fraction multiplication of 10/20 × 1/2.
Solution: Multiply the numerators and denominators i.e 10 × 1 = 10 and 20 × 2 = 40
Reduce to simple form i.e 10/40 = 1/4
Proper fraction multiplication of 10/20 × 1/2 = 1/4.

Exercise

1. 10/12 × 4/6 = 5/9
 2. 8/9 × 7/11 = 56/99
 3. 3/5 × 12/13 = 36/65
 4. 7/8 × 9/11 = 63/88
 5. 5/7 × 5/7 = 25/49
 6. 4/17 × 6/10 = 12/85
 7. 5/8 × 8/21 = 5/21
 8. 10/15 × 20/30 = 4/9
 9. 3/4 × 4/17 = 3/17
 10. 11/12 × 6/7 = 11/14

Multiply proper fraction calculator FAQ

What is a proper fraction?
Proper fractions are fractions in which the numerator is less than the denominator. Decimal value of a proper fraction is always less than 1.
How to multiply proper fractions with different denominators?
To multiply proper fractions with different denominators, first, find a common denominator by multiplying the denominators together. Then, convert each fraction to an equivalent fraction with the common denominator. Finally, multiply the numerators together to get the new numerator, and multiply the common denominator once to get the new denominator.
What are the steps to find proper fraction multiplication?
Step 1: Multiply both the numerators.
Step 2: Multiply both the denominator.
Step 3: Simplify the fraction.
How to multiply 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 addition of proper fractions is commonly applied?
Multiplication of proper fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, research, time management and production. For example, in production, Company A produces 3/5 of a widget per hour, and company B produces 2/3 of a widget per hour. Multiplying their production rates gives a combined output of 2/5 of a widget per hour when they work together.
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