Compare 6/30 and 20/36
6/30 is smaller than 20/36
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,
6/30 = 6 × 6/30 × 6 = 36/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
20/36 = 20 × 5/36 × 5 = 100/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/180 < 100/180 or 6/30 < 20/36
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