Compare 10/36 and 20/30
10/36 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 30 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
10/36 = 10 × 5/36 × 5 = 50/180 - Likewise, for the 2nd fraction, since 30 × 6 = 180,
20/30 = 20 × 6/30 × 6 = 120/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/180 < 120/180 or 10/36 < 20/30
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