Compare 1/21 and 48/84
1/21 is smaller than 48/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 21 × 4 = 84,
1/21 = 1 × 4/21 × 4 = 4/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
48/84 = 48 × 1/84 × 1 = 48/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/84 < 48/84 or 1/21 < 48/84
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