Compare 8/36 and 21/30
8/36 is smaller than 21/30
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,
8/36 = 8 × 5/36 × 5 = 40/180 - Likewise, for the 2nd fraction, since 30 × 6 = 180,
21/30 = 21 × 6/30 × 6 = 126/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/180 < 126/180 or 8/36 < 21/30
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