Compare 4/15 and 42/98
4/15 is smaller than 42/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 98 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 15 × 98 = 1470,
4/15 = 4 × 98/15 × 98 = 392/1470 - 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
- 392/1470 < 630/1470 or 4/15 < 42/98
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