Compare 21/14 and 98/8
1st number: 1 7/14, 2nd number: 12 2/8
21/14 is smaller than 98/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 14 × 4 = 56,
21/14 = 21 × 4/14 × 4 = 84/56 - 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
- 84/56 < 686/56 or 21/14 < 98/8
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