Compare 7/30 and 42/98
7/30 is smaller than 42/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 98 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
7/30 = 7 × 49/30 × 49 = 343/1470 - Likewise, for the 2nd fraction, since 98 × 15 = 1470,
42/98 = 42 × 15/98 × 15 = 630/1470 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/1470 < 630/1470 or 7/30 < 42/98
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