First answer
6/8
Double both numbers in 3/4.
A direct fraction answer
What Are 2 Equivalent Fractions for 3/4?
Two equivalent fractions for 3/4 are 6/8 and 9/12. All three fractions name the same three-quarter part of one whole.
Quick answer
3/4 = 6/8 = 9/12
3/4
6/8
9/12
Each bar ends at the same three-quarter point.
The short explanation
What are two equivalent fractions for 3/4?
Use the same multiplication factor for the numerator and denominator. Multiplying by 2/2 gives one answer, 6/8. Multiplying by 3/3 gives another answer, 9/12.
Second answer
9/12
Triple both numbers in 3/4.
Use the multiplication rule
Make two equivalent fractions from 3/4
The number you multiply by is a choice. What must stay the same is the multiplier used on the top and bottom of the fraction.
Multiply by 2
3/4 × 2/2 = 6/8
Every fourth is split into two equal eighths. Three shaded fourths become six shaded eighths.
Multiply by 3
3/4 × 3/3 = 9/12
Every fourth is split into three equal twelfths. Three shaded fourths become nine shaded twelfths.
Visual proof
Why 6/8 and 9/12 are both correct
Look at the end of the colored section, not just the number of pieces. Every fraction below shades exactly three quarters of the whole.
3/4
Same shaded endpoint
6/8
Same shaded endpoint
9/12
Same shaded endpoint
Check the answer
How to check the two answers
Cross-multiplication gives a fast check after you make a new fraction. Equal diagonal products mean the two fractions have the same value.
3 × 8 = 24
4 × 6 = 24
So 3/4 = 6/8.
3 × 12 = 36
4 × 9 = 36
So 3/4 = 9/12.
Common questions
Equivalent Fractions for 3/4 FAQ
Two equivalent fractions for 3/4 are 6/8 and 9/12. Multiply the numerator and denominator by 2 to make 6/8, or by 3 to make 9/12.