Compare 45/98 and 30/42
45/98 is smaller than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 42 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
45/98 = 45 × 3/98 × 3 = 135/294 - Likewise, for the 2nd fraction, since 42 × 7 = 294,
30/42 = 30 × 7/42 × 7 = 210/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/294 < 210/294 or 45/98 < 30/42
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