Compare 9/50 and 21/75
9/50 is smaller than 21/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 50 × 3 = 150,
9/50 = 9 × 3/50 × 3 = 27/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
21/75 = 21 × 2/75 × 2 = 42/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/150 < 42/150 or 9/50 < 21/75
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