Compare 21/30 and 6/7
21/30 is smaller than 6/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
6/7 = 6 × 30/7 × 30 = 180/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/210 < 180/210 or 21/30 < 6/7
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