Compare 3/36 and 10/84
3/36 is smaller than 10/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
3/36 = 3 × 7/36 × 7 = 21/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
10/84 = 10 × 3/84 × 3 = 30/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/252 < 30/252 or 3/36 < 10/84
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