Compare 12/35 and 30/42
12/35 is smaller than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
12/35 = 12 × 6/35 × 6 = 72/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/210 < 150/210 or 12/35 < 30/42
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