Compare 6/15 and 30/36
6/15 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 15 × 12 = 180,
6/15 = 6 × 12/15 × 12 = 72/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
30/36 = 30 × 5/36 × 5 = 150/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/180 < 150/180 or 6/15 < 30/36
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