Compare 3/5 and 2/3; which is larger?

Compare 3/5 and 2/3; which is larger?

• A. 3/5
• B. 2/3
• C. 5/3
• D. 3/2

Answer: (B)

To compare 3/5 and 2/3, use cross-multiplying to see which value is bigger. Multiply 3 by 3 and 2 by 5: 3×3 = 9 and 2×5 = 10. Since 9 is less than 10, the first fraction is smaller, so 2/3 is larger. You can also check by decimals: 3/5 = 0.6 and 2/3 ≈ 0.6667, confirming that 2/3 is bigger. A quick intuition is that two-thirds is a bit more than half, whereas three-fifths is 60%, slightly less than two-thirds. The other options, 5/3 and 3/2, are greater than 1, so they aren’t the comparison between these two fractions.

To compare 3/5 and 2/3, use cross-multiplying to see which value is bigger. Multiply 3 by 3 and 2 by 5: 3×3 = 9 and 2×5 = 10. Since 9 is less than 10, the first fraction is smaller, so 2/3 is larger. You can also check by decimals: 3/5 = 0.6 and 2/3 ≈ 0.6667, confirming that 2/3 is bigger. A quick intuition is that two-thirds is a bit more than half, whereas three-fifths is 60%, slightly less than two-thirds. The other options, 5/3 and 3/2, are greater than 1, so they aren’t the comparison between these two fractions.