Compare 21/75 and 15/50
21/75 is smaller than 15/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 50 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
21/75 = 21 × 2/75 × 2 = 42/150 - Likewise, for the 2nd fraction, since 50 × 3 = 150,
15/50 = 15 × 3/50 × 3 = 45/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/150 < 45/150 or 21/75 < 15/50
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