Answers

Compare 2/3 and 7/4

1^st number: 2/3, 2^nd number: 1 3/4

2/3 is smaller than 7/4

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 3 and 4 is 12
2. For the 1st fraction, since 3 × 4 = 12,
   2/3 = 2 × 4/3 × 4 = 8/12
3. Likewise, for the 2nd fraction, since 4 × 3 = 12,
   7/4 = 7 × 3/4 × 3 = 21/12
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 8/12 < 21/12 or 2/3 < 7/4

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related: ⁴/₃ and ⁷/₄ ²/₃ and ¹⁴/₄ ²/₆ and ⁷/₄ ²/₃ and ⁷/₈ ⁶/₃ and ⁷/₄ ²/₃ and ²¹/₄ ²/₉ and ⁷/₄ ²/₃ and ⁷/₁₂ ¹⁰/₃ and ⁷/₄ ²/₃ and ³⁵/₄ ²/₁₅ and ⁷/₄ ²/₃ and ⁷/₂₀ ¹⁴/₃ and ⁷/₄ ²/₃ and ⁴⁹/₄ ²/₂₁ and ⁷/₄ ²/₃ and ⁷/₂₈

Compare Fractions Calculator