Compare 12/75 and 21/24
12/75 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 24 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 24 × 25 = 600,
21/24 = 21 × 25/24 × 25 = 525/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/600 < 525/600 or 12/75 < 21/24
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