Compare 3/7 and 21/48
3/7 is smaller than 21/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 7 × 48 = 336,
3/7 = 3 × 48/7 × 48 = 144/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
21/48 = 21 × 7/48 × 7 = 147/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/336 < 147/336 or 3/7 < 21/48
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