Answers

Compare 2/30 and 8/9

2/30 is smaller than 8/9

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 9 is 90
   
   Next, find the equivalent fraction of both fractional numbers with denominator 90
2. For the 1st fraction, since 30 × 3 = 90,
   2/30 = 2 × 3/30 × 3 = 6/90
3. Likewise, for the 2nd fraction, since 9 × 10 = 90,
   8/9 = 8 × 10/9 × 10 = 80/90
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 6/90 < 80/90 or 2/30 < 8/9

MathStep (Works offline)

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

Related: ⁴/₃₀ and ⁸/₉ ²/₃₀ and ¹⁶/₉ ²/₆₀ and ⁸/₉ ²/₃₀ and ⁸/₁₈ ⁶/₃₀ and ⁸/₉ ²/₃₀ and ²⁴/₉ ²/₉₀ and ⁸/₉ ²/₃₀ and ⁸/₂₇ ¹⁰/₃₀ and ⁸/₉ ²/₃₀ and ⁴⁰/₉ ²/₃₀ and ⁸/₄₅ ¹⁴/₃₀ and ⁸/₉ ²/₃₀ and ⁵⁶/₉ ²/₃₀ and ⁸/₆₃

Compare Fractions Calculator