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Subtract Fractions Step by Step

Grades 5-6Key Stage 2Årskurs 4-6

Problem

Subtract the fractions: 5/6 - 1/4

📝Step-by-Step Solution

1

Check the denominators

The denominators are 6 and 4. Since they are different, we need to find a common denominator.

2

Find the least common denominator (LCD)

Multiples of 6: 6, 12, 18... Multiples of 4: 4, 8, 12... The LCD is 12.

LCD of 6 and 4 = 12
3

Convert the first fraction

Multiply 5/6 by 2/2 to get denominator 12: 5/6 × 2/2 = 10/12

5/6 = 10/12
4

Convert the second fraction

Multiply 1/4 by 3/3 to get denominator 12: 1/4 × 3/3 = 3/12

1/4 = 3/12
5

Subtract the numerators

Now subtract: 10/12 - 3/12 = 7/12

10 - 3 = 7, so 10/12 - 3/12 = 7/12
6

Simplify if possible

7 and 12 share no common factors, so 7/12 is already in simplest form.

Final Answer

7/12

Subtracting fractions follows the same process as adding: find a common denominator, convert both fractions, then subtract the numerators. The denominator stays the same - only the numerators are subtracted.

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