Compare 30/75 and 21/36
30/75 is smaller than 21/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 36 is 900
Next, find the equivalent fraction of both fractional numbers with denominator 900 - For the 1st fraction, since 75 × 12 = 900,
30/75 = 30 × 12/75 × 12 = 360/900 - Likewise, for the 2nd fraction, since 36 × 25 = 900,
21/36 = 21 × 25/36 × 25 = 525/900 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/900 < 525/900 or 30/75 < 21/36
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