Compare 7/30 and 10/21
7/30 is smaller than 10/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
7/30 = 7 × 7/30 × 7 = 49/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
10/21 = 10 × 10/21 × 10 = 100/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/210 < 100/210 or 7/30 < 10/21
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