Compare 4/21 and 49/48
1st number: 4/21, 2nd number: 1 1/48
4/21 is smaller than 49/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 21 × 16 = 336,
4/21 = 4 × 16/21 × 16 = 64/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
49/48 = 49 × 7/48 × 7 = 343/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/336 < 343/336 or 4/21 < 49/48
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