Compare 7/75 and 56/98
7/75 is smaller than 56/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 98 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 75 × 98 = 7350,
7/75 = 7 × 98/75 × 98 = 686/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
56/98 = 56 × 75/98 × 75 = 4200/7350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 686/7350 < 4200/7350 or 7/75 < 56/98
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