Compare 30/84 and 10/27
30/84 is smaller than 10/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
30/84 = 30 × 9/84 × 9 = 270/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
10/27 = 10 × 28/27 × 28 = 280/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/756 < 280/756 or 30/84 < 10/27
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