Answers

Compare 56/9 and 21/4

1^st number: 6 2/9, 2^nd number: 5 1/4

56/9 is greater than 21/4

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 9 and 4 is 36
   
   Next, find the equivalent fraction of both fractional numbers with denominator 36
2. For the 1st fraction, since 9 × 4 = 36,
   56/9 = 56 × 4/9 × 4 = 224/36
3. Likewise, for the 2nd fraction, since 4 × 9 = 36,
   21/4 = 21 × 9/4 × 9 = 189/36
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 224/36 > 189/36 or 56/9 > 21/4

MathStep (Works offline)

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

Related: ⁵⁶/₉ and ⁴²/₄ ⁵⁶/₁₈ and ²¹/₄ ⁵⁶/₉ and ²¹/₈ ⁵⁶/₉ and ⁶³/₄ ⁵⁶/₂₇ and ²¹/₄ ⁵⁶/₉ and ²¹/₁₂ ⁵⁶/₄₅ and ²¹/₄ ⁵⁶/₉ and ²¹/₂₀ ⁵⁶/₆₃ and ²¹/₄ ⁵⁶/₉ and ²¹/₂₈

Compare Fractions Calculator