Compare 7/36 and 8/15
7/36 is smaller than 8/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 15 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
7/36 = 7 × 5/36 × 5 = 35/180 - Likewise, for the 2nd fraction, since 15 × 12 = 180,
8/15 = 8 × 12/15 × 12 = 96/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/180 < 96/180 or 7/36 < 8/15
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