Compare 20/7 and 98/8
1st number: 2 6/7, 2nd number: 12 2/8
20/7 is smaller than 98/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 7 × 8 = 56,
20/7 = 20 × 8/7 × 8 = 160/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
98/8 = 98 × 7/8 × 7 = 686/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/56 < 686/56 or 20/7 < 98/8
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