Compare 10/75 and 21/98
10/75 is smaller than 21/98
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,
10/75 = 10 × 98/75 × 98 = 980/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
21/98 = 21 × 75/98 × 75 = 1575/7350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 980/7350 < 1575/7350 or 10/75 < 21/98
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