Compare 1/21 and 6/30
1/21 is smaller than 6/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
1/21 = 1 × 10/21 × 10 = 10/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
6/30 = 6 × 7/30 × 7 = 42/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/210 < 42/210 or 1/21 < 6/30
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