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Subtract improper fraction calculator

Fraction
Improper Simple Mixed Proper
Operation
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5
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1
1
5
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5

Improper fraction subtraction formula

a b - c d = ( a × d ) - ( b × c ) b × d

More about improper fraction subtraction

Tricks

1. If the two denominators are not multiples of each other, multiply the denominators directly to find a common denominator.
2. If one denominator is a multiple of the other, use the larger denominator as the common denominator.
3. If the denominators are already the same, simply subtract the numerators and keep the denominator the same.

Rules

1. Ensure that both fractions have common denominators.
2. In improper fractions, the numerator should always be greater than the denominator.
3. If the resulting fraction can be simplified, simplify it.

Practise improper fraction subtraction

Examples

Example 1: Find the improper fraction subtraction of 7/2 - 4/2.
Solution: Both fractions have like denominators. i.e 2
Subtract both fractions i.e 7/2 - 4/2 = 3/2
Improper fraction subtraction of 7/2 - 4/2 = 3/2.

Example 2: Find the improper fraction subtraction of 10/3 -14/12.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 40/12 and 14/12
Subtract both fractions i.e 40/12 - 14/12 = 13/6
Improper fraction subtraction of 10/3 -14/12 = 13/6.

Example 3: Find the improper fraction subtraction of 16/4 - 8/5.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 80/20 - 32/20
Subtract both fractions i.e 80/20 - 32/20 = 12/5
Improper fraction subtraction of 16/4 - 8/5 = 12/5.

Example 4: Find the improper fraction subtraction of 12/5 - 7/6.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 72/30 and 35/30
Subtract both fractions i.e 72/30 - 35/30 = 37/30
Improper fraction subtraction of 12/5 - 7/6 = 37/30.

Example 5: Find the improper fraction subtraction of 11/4 - 13/9.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 99/36 and 52/36
Subtract both fractions i.e 99/36 - 52/36 = 47/36
Improper fraction subtraction of 11/4 - 13/9 = 47/36.

Exercise

1. 15/6 - 17/9 = 11/18
 2. 7/3 - 10/6 = 2/3
 3. 14/5 - 7/5 = 7/5
 4. 10/6 - 10/8 = 5/12
 5. 9/4 - 19/14 = 25/28
 6. 13/9 - 15/12 = 7/36
 7. 28/8 - 16/9 = 31/18
 8. 30/3 - 18/5 = 32/5
 9. 21/16 - 10/8 = 1/16
 10. 16/10 - 6/5 = 2/5

Subtract improper fraction calculator FAQ

What is an improper fraction subtraction?
The improper fractions subtraction involves subtracting two or more fractions where at least one of the fractions has a numerator that is greater than or equal to its denominator to form a single fraction. This process requires finding a common denominator for the fractions, subtracting the numerators while keeping the denominator unchanged.
Can improper fractions be simplified?
Yes, improper fractions or top-heavy fractions can be simplified by dividing the numerator and denominator by their greatest common divisor. This reduces the fraction to its simplest form.
What are the steps to find improper fraction subtraction?
Step 1: Make sure the the denominators are the same.
Step 2: If denominators are same, subtract the numerators, keeping the denominator common.
Step 3: If denominators are different, make the denominators of the fractions same, by finding the LCM of denominators and rationalising them, then subtract the numerator
Step 4: Simplify the fraction
What if the denominators are not the same when subtracting improper fractions?
If the denominators are different, you will first need to find a common denominator by taking the least common multiple of the denominators. Then, rewrite each fraction with the common denominator before proceeding with the subtraction.
Could you provide examples from real-life scenarios where the subtraction of improper fractions is commonly applied?
Subtraction of improper fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, and design for combining quantities. For example, in construction, if you have a wooden plank that measures 10/4 meters long, and you need to cut 5/4 meters from it to fit into a specific space, after subtracting 5/4 from 10/4 you will get a remaining piece of wooden plank.
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