Compare 8/30 and 42/49
8/30 is smaller than 42/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
8/30 = 8 × 49/30 × 49 = 392/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
42/49 = 42 × 30/49 × 30 = 1260/1470 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/1470 < 1260/1470 or 8/30 < 42/49
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