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Divide improper fraction calculator

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Improper Simple Mixed Proper
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Improper fraction division formula

a b ÷ c d = a × d b × c

More about improper 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 improper fraction division

Examples

Example 1: Find the improper fraction division of 10/8 ÷ 4/9.
Solution: Reciporcal of second fraction i.e 9/4
Multiply first fraction to reciprocal i.e 10/8 × 9/4 = 45/16
Improper fraction division of 10/8 ÷ 4/9 = 45/16.

Example 2: Find the improper fraction division of 11/3 ÷ 6/4.
Solution: Reciporcal of second fraction i.e 4/6
Multiply first fraction to reciprocal i.e 11/3 × 4/6 = 22/9
Improper fraction division of 11/3 ÷ 6/4 = 22/9.

Example 3: Find the improper fraction division of 16/4 ÷ 8/5.
Solution: Reciporcal of second fraction i.e 5/8
Multiply first fraction to reciprocal i.e 16/4 × 5/8 = 5/2
Improper fraction division of 16/4 ÷ 8/5 = 5/2.

Example 4: Find the improper fraction division of 15/12 ÷ 17/6.
Solution: Reciporcal of second fraction i.e 6/17
Multiply first fraction to reciprocal i.e 15/12 × 6/17 = 15/34
Improper fraction division of 15/12 ÷ 17/6 = 15/34.

Example 5: Find the improper fraction division of 18/4 ÷ 10/7.
Solution: Reciporcal of second fraction i.e 7/10
Multiply first fraction to reciprocal i.e 18/4 × 7/10 = 63/20
Improper fraction division of 18/4 ÷ 10/7 = 63/20.

Exercise

1. 9/4 ÷ 16/12 = 27/16
 2. 11/5 ÷ 8/3 = 33/40
 3. 15/5 ÷ 19/11 = 33/19
 4. 8/6 ÷ 18/4 = 8/27
 5. 20/9 ÷ 14/6 = 20/21
 6. 9/6 ÷ 13/8 = 12/13
 7. 28/8 ÷ 16/9 = 63/32
 8. 30/3 ÷ 18/5 = 25/9
 9. 14/5 ÷ 20/6 = 21/25
 10. 16/10 ÷ 22/8 = 32/55

Divide improper fraction calculator FAQ

What is an improper fraction?
An improper fraction has a numerator that is equal to or greater than its denominator, representing a value equal to or greater than one.
How do we simplify an improper fraction?
Simplification of improper fractions or top-heavy fractions means finding the lowest value of the fraction by dividing the numerator with the denominator.
What are the steps to find improper 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: If the resulting fraction can be simplified, simplify it.
Could you provide examples from real-life scenarios where the division of improper fractions is commonly applied?
Division of improper fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, measument, time management and production. For example, in measument, if their is rectangular piece of land that measures 30/3 of an acre and need to divide into equal piece where each piece should be 18/5 acre, by dividing 30/3 by 18/5 we get a equal pieces of 25/9 or 2 7/9 acre.
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