Compare 15/8 and 48/21
1st number: 1 7/8, 2nd number: 2 6/21
15/8 is smaller than 48/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
15/8 = 15 × 21/8 × 21 = 315/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
48/21 = 48 × 8/21 × 8 = 384/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/168 < 384/168 or 15/8 < 48/21
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