Compare 8/56 and 21/84
8/56 is smaller than 21/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 84 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
8/56 = 8 × 3/56 × 3 = 24/168 - Likewise, for the 2nd fraction, since 84 × 2 = 168,
21/84 = 21 × 2/84 × 2 = 42/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/168 < 42/168 or 8/56 < 21/84
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