Which fraction is equivalent to 4/5?

• A. 6/7
• B. 12/15
• C. 7/10
• D. 9/16

Answer: (B)

Equivalent fractions name the same value; you get them by multiplying the top and bottom by the same whole number. To see if a different fraction matches 4/5, multiply the numerator and denominator of 4/5 by 3 to get 12/15, since 4×3 = 12 and 5×3 = 15. You can also check by cross-multiplying: 4×15 equals 5×12, both 60, which shows they are the same amount. The other fractions represent different values (roughly 0.857, 0.7, and 0.5625), so they are not equivalent to 4/5. Therefore, 12/15 is equivalent to 4/5.