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Divide simple fraction calculator

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Simple Mixed Proper Improper
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Simple fraction division formula

a b ÷ c d = a × d b × c

More about simple fraction division

Tricks

1. Cancel out common factors between numerators and a denominators before performing division.
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 greater than the original numerator but less than the original denominator, because the result represents how many times one fraction fits into another.

Rules

1. Convert the operation to multiplication before performing any cancellations.
2. Remember to only invert the divisor when performing division.
3. Ensure that neither the numerator nor the denominator of the divisor is zero to avoid undefined results.

Practise simple fraction division

Examples

Example 1: Find the simple fraction division of 3/5 ÷ 2/5.
Solution: Reciporcal of second fraction i.e 5/2
Multiply first fraction to reciprocal i.e 3/5 × 5/2 = 3/2
Simple fraction division of 3/5 ÷ 2/5 = 3/2.

Example 2: Find the simple fraction division of 13/6 ÷ 4/7.
Solution: Reciporcal of second fraction i.e 7/4
Multiply first fraction to reciprocal i.e 13/6 × 7/4 = 91/24
Simple fraction division of 13/6 ÷ 4/7 = 91/24.

Example 3: Find the simple fraction division of 18/7 ÷ 12/9.
Solution: Reciporcal of second fraction i.e 9/12
Multiply first fraction to reciprocal i.e 18/7 × 9/12 = 27/14
Simple fraction division of 18/7 ÷ 12/9 = 27/14.

Example 4: Find the simple fraction division of 13/10 ÷ 5/7.
Solution: Reciporcal of second fraction i.e 7/5
Multiply first fraction to reciprocal i.e 13/10 × 7/5 = 91/50
Simple fraction division of 13/10 ÷ 5/7 = 91/50.

Example 5: Find the simple fraction division of 9/12 ÷ 12/15.
Solution: Reciporcal of second fraction i.e 15/12
Multiply first fraction to reciprocal i.e 9/12 × 15/12 = 15/16
Simple fraction division of 9/12 ÷ 12/15 = 15/16.

Exercise

1. 7/12 ÷ 8/12 = 7/8
 2. 16/7 ÷ 20/3 = 12/35
 3. 15/10 ÷ 7/14 = 3/1
 4. 4/6 ÷ 12/24 = 4/3
 5. 3/11 ÷ 11/13 = 39/121
 6. 4/8 ÷ 8/12 = 3/4
 7. 9/4 ÷ 5/6 = 27/10
 8. 6/12 ÷ 9/10 = 5/9
 9. 5/6 ÷ 20/6 = 1/4
 10. 11/5 ÷ 18/12 = 22/15

Divide simple fraction calculator FAQ

What is a simple fraction division?
The simple fraction division is the process of dividing one fraction by another to obtain a single fraction as the result. This involves multiplying the first fraction by the reciprocal of the second fraction.
What are the steps to find simple fraction division?
Step 1: Keep - Change - Flip
Keep the dividend the same.
Change the division sign to multiply.
Flip the divisor by writing its reciprocal.
Step 2: Multiply the fractions.
Step 3: Reduce fraction to its simplest form.
What if the numerator or denominator of one fraction is zero?
If the numerator of a fraction is zero, then result of the division is zero. If the denominator of a fraction is zero, then division is undefined.
Could you provide examples from real-life scenarios where the division of simple fractions is commonly applied?
Division of simple fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, and design for precise adjustments and measurements. For example, in healthcare, if a hospital has 3/4 of a medication dosage available and needs to distribute it equally among patients who require 2/4 of the dosage, by dividing 3/4 to 2/4 each patient would receive 3/2 times the required dosage.
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