Which fraction is equivalent to 4/5?

Which fraction is equivalent to 4/5?

• A. 3/5
• B. 2/3
• C. 12/15
• D. 4/6

Answer: (C)

Equivalent fractions express the same value, because you can multiply the top and bottom by the same number to get another valid form. Multiplying both the numerator and denominator of 4/5 by 3 gives 12/15, so 12/15 represents the same proportion as 4/5. A quick check is cross-multiplication: 4×15 equals 5×12, both 60, which confirms the two fractions are equal. The other options don’t match the same value: 3/5 equals 0.6, 2/3 is about 0.667, and 4/6 simplifies to 2/3, not 4/5.

Equivalent fractions express the same value, because you can multiply the top and bottom by the same number to get another valid form. Multiplying both the numerator and denominator of 4/5 by 3 gives 12/15, so 12/15 represents the same proportion as 4/5. A quick check is cross-multiplication: 4×15 equals 5×12, both 60, which confirms the two fractions are equal. The other options don’t match the same value: 3/5 equals 0.6, 2/3 is about 0.667, and 4/6 simplifies to 2/3, not 4/5.