Compare 10/30 and 42/84
10/30 is smaller than 42/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
10/30 = 10 × 14/30 × 14 = 140/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
42/84 = 42 × 5/84 × 5 = 210/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/420 < 210/420 or 10/30 < 42/84
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