Compare 30/98 and 10/56
30/98 is greater than 10/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 98 × 4 = 392,
30/98 = 30 × 4/98 × 4 = 120/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
10/56 = 10 × 7/56 × 7 = 70/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/392 > 70/392 or 30/98 > 10/56
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