Answers

Compare 8/6 and 40/9

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

8/6 is smaller than 40/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 6 and 9 is 18
   
   Next, find the equivalent fraction of both fractional numbers with denominator 18
2. For the 1st fraction, since 6 × 3 = 18,
   8/6 = 8 × 3/6 × 3 = 24/18
3. Likewise, for the 2nd fraction, since 9 × 2 = 18,
   40/9 = 40 × 2/9 × 2 = 80/18
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 24/18 < 80/18 or 8/6 < 40/9

MathStep (Works offline)

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

Related: ¹⁶/₆ and ⁴⁰/₉ ⁸/₆ and ⁸⁰/₉ ⁸/₁₂ and ⁴⁰/₉ ⁸/₆ and ⁴⁰/₁₈ ²⁴/₆ and ⁴⁰/₉ ⁸/₁₈ and ⁴⁰/₉ ⁸/₆ and ⁴⁰/₂₇ ⁴⁰/₆ and ⁴⁰/₉ ⁸/₃₀ and ⁴⁰/₉ ⁸/₆ and ⁴⁰/₄₅ ⁵⁶/₆ and ⁴⁰/₉ ⁸/₄₂ and ⁴⁰/₉ ⁸/₆ and ⁴⁰/₆₃

Compare Fractions Calculator