Compare 4/27 and 63/84
4/27 is smaller than 63/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
4/27 = 4 × 28/27 × 28 = 112/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
63/84 = 63 × 9/84 × 9 = 567/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/756 < 567/756 or 4/27 < 63/84
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