Compare 10/30 and 32/36
10/30 is smaller than 32/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 30 × 6 = 180,
10/30 = 10 × 6/30 × 6 = 60/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
32/36 = 32 × 5/36 × 5 = 160/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/180 < 160/180 or 10/30 < 32/36
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