Compare 7/42 and 10/30
742 is smaller than 1030
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
742 = 7 × 542 × 5 = 35210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
1030 = 10 × 730 × 7 = 70210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35210 < 70210 or 742 < 1030
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