Simple fraction subtraction formula

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

More about simple 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. If the denominators are not equal, adjust them to be equal.
3. If the resulting fraction can be simplified, simplify it.

Practise simple fraction subtraction

Examples

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

Example 2: Find the simple fraction subtraction of 11/6 - 7/8.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 44/24 and 21/24
Subtract both fractions i.e 44/24 - 21/24 = 23/24
Simple fraction subtraction of 11/6 - 7/8 = 23/24.

Example 3: Find the simple fraction subtraction of 8/11 - 7/22.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 16/22 and 7/22
Subtract both fractions i.e 16/22 - 7/22 = 9/22
Simple fraction subtraction of 8/11 - 7/22 = 9/22.

Example 4: Find the simple fraction subtraction of 37/10 - 14/5.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 37/10 and 28/10
Subtract both fractions i.e 37/10 - 28/10 = 9/10
Simple fraction subtraction of 37/10 - 14/5 = 9/10.

Example 5: Find the simple fraction subtraction of 16/12 - 3/8.
Solution: Both fractions have unlike denominators, make the denominator same by finding LCM of denominators. i.e 32/24 and 9/24
Subtract both fractions i.e 32/24 - 9/24 = 23/24
Simple fraction subtraction of 16/12 - 3/8 = 23/24.

Exercise

1. 6/7 - 4/7 = 2/7
2. 10/6 - 2/14 = 32/21
3. 18/16 - 3/12 = 7/8
4. 7/11 - 4/11 = 3/11
5. 8/16 - 3/12 = 1/4
6. 13/15 - 4/9 = 19/45
7. 5/6 - 1/4 = 7/12
8. 20/8 - 11/6 = 2/3
9. 5/12 - 2/10 = 1/20
10. 19/5 - 13/5 = 6/5

Subtract simple fraction calculator FAQ

What is a simple fraction subtraction?
The simple fraction subtraction is the process of subtracting two or more fractions to obtain 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 simple fraction subtraction?
Step 1: Make sure that the denominators are like.
Step 2: If denominators are like, subtract the numerators, keeping the denominator common.
Step 3: If denominators are unlike, make the denominators of the fractions same, by finding the LCM of denominators and rationalizing them, then subtract the numerator.
Step 4: Reduce fraction to its simplest form.
How do I subtract fractions with whole numbers?
To subtract a fraction from a whole number, first convert the whole number into a fraction by placing it over 1. Then, find a common denominator between the fraction and the whole number by multiplying the whole numbers denominator by the fractions denominator.
Could you provide examples from real-life scenarios where the subtraction of simple fractions is commonly applied?
Subtraction 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 construction, if a beam is 7/8 meter long and you cut off 3/4 of it, you would subtract 3/4 from 7/8 to find that 1/8 of a meter remains.
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