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.
Ready to Practice Fractions?
Generate a personalized practice test with MathQuizily. Get instant PDF downloads with answer keys.