Compare 10/42 and 20/49
10/42 is smaller than 20/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
10/42 = 10 × 7/42 × 7 = 70/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
20/49 = 20 × 6/49 × 6 = 120/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/294 < 120/294 or 10/42 < 20/49
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