Compare 10/84 and 27/63
10/84 is smaller than 27/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 63 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
10/84 = 10 × 3/84 × 3 = 30/252 - Likewise, for the 2nd fraction, since 63 × 4 = 252,
27/63 = 27 × 4/63 × 4 = 108/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/252 < 108/252 or 10/84 < 27/63
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