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Subtract proper fraction calculator

Fraction
Proper Simple Mixed Improper
Operation
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2
5
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1
5
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1
5

Proper fraction subtraction formula

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

More about proper 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 like denominators.
2. In proper fractions, the numerator should always be less than the denominator.
3. If the resulting fraction can be simplified, simplify it.

Practise proper fraction subtraction

Examples

Example 1: Find the proper fraction subtraction of 3/5 - 2/5.
Solution: Both fractions have like denominators. i.e 5
Subtract both fractions i.e 3/5 - 2/5 = 1/5
Proper fraction subtraction of 3/5 - 2/5 = 1/5.

Example 2: Find the proper fraction subtraction of 7/12 - 2/16.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 28/48 and 6/48
Subtract both fractions i.e 28/48 - 6/48 = 11/24
Proper fraction subtraction of 7/12 - 2/16 = 11/24.

Example 3: Find the proper fraction subtraction of 9/11 - 3/4.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 36/44 and 33/44
Subtract both fractions i.e 36/44 - 33/44 = 3/44
Proper fraction subtraction of 9/11 - 3/4 = 3/44.

Example 4: Find the proper fraction subtraction of 7/8 - 3/8.
Solution: Both fractions have like denominators. i.e 8
Subtract both fractions i.e 7/8 - 3/8 = 1/2
Proper fraction subtraction of 7/8 - 3/8 = 1/2.

Example 5: Find the proper fraction subtraction of 6/2 - 3/5.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 30/10 and 6/10
Subtract both fractions i.e 30/10 - 6/10 = 12/5
Proper fraction subtraction of 6/2 - 3/5 = 12/5.

Exercise

1. 6/8 - 3/8 = 3/8
 2. 5/14 - 2/14 = 3/14
 3. 4/6 - 3/15 = 7/15
 4. 11/12 - 2/18 = 29/36
 5. 12/15 - 7/10 = 1/10
 6. 9/10 - 2/5 = 1/2
 7. 5/6 - 1/7 = 29/42
 8. 11/12 - 5/6 = 1/12
 9. 12/13 - 10/13 = 2/13
 10. 8/9 - 2/5 = 22/45

Subtract proper fraction calculator FAQ

What is a proper fraction subtraction?
The proper fractions subtraction involves subtracting two or more fractions to form a single fraction. This process requires finding a common denominator for the fractions, subtracting the numerators while keeping the denominator unchanged.
What are the steps to find proper 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
How to subtract fractions with whole numbers?
To subtract a fraction from a whole number, convert the whole number to a fraction by placing it over 1. Find a common denominator with the fraction, subtract the fractions numerator from the whole numbers numerator, and keep the common denominator unchanged.
Could you provide examples from real-life scenarios where the subtraction of proper fractions is commonly applied?
Subtraction of proper fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, research, time management and production. For example, in construction, if their is 5/7 feet of lumber and out of that 1/7 feet used for the construction project, after subtracting 1/7 from 5/7 gives 4/7 feet lumber which shows the remaining lumber.
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