Problem
Subtract the fractions: 5/6 - 1/4
📝Step-by-Step Solution
Check the denominators
The denominators are 6 and 4. Since they are different, we need to find a common denominator.
Find the least common denominator (LCD)
Multiples of 6: 6, 12, 18... Multiples of 4: 4, 8, 12... The LCD is 12.
Convert the first fraction
Multiply 5/6 by 2/2 to get denominator 12: 5/6 × 2/2 = 10/12
Convert the second fraction
Multiply 1/4 by 3/3 to get denominator 12: 1/4 × 3/3 = 3/12
Subtract the numerators
Now subtract: 10/12 - 3/12 = 7/12
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.
Learn more about Fractions
This worked example is part of the broader fractions guide. Review the method, practice related skills, and create a printable assessment when you are ready.
Open the Fractions guide