Compare 42/98 and 30/8
1st number: 42/98, 2nd number: 3 6/8
42/98 is smaller than 30/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 8 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 98 × 4 = 392,
42/98 = 42 × 4/98 × 4 = 168/392 - Likewise, for the 2nd fraction, since 8 × 49 = 392,
30/8 = 30 × 49/8 × 49 = 1470/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/392 < 1470/392 or 42/98 < 30/8
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