Compare 12/75 and 21/40
12/75 is smaller than 21/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
12/75 = 12 × 8/75 × 8 = 96/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
21/40 = 21 × 15/40 × 15 = 315/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/600 < 315/600 or 12/75 < 21/40
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