Compare 8/84 and 10/36
8/84 is smaller than 10/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
8/84 = 8 × 3/84 × 3 = 24/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
10/36 = 10 × 7/36 × 7 = 70/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/252 < 70/252 or 8/84 < 10/36
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