Compare 75/98 and 20/7
1st number: 75/98, 2nd number: 2 6/7
75/98 is smaller than 20/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 7 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 98 × 1 = 98,
75/98 = 75 × 1/98 × 1 = 75/98 - Likewise, for the 2nd fraction, since 7 × 14 = 98,
20/7 = 20 × 14/7 × 14 = 280/98 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/98 < 280/98 or 75/98 < 20/7
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