Compare 12/25 and 24/42
12/25 is smaller than 24/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 25 × 42 = 1050,
12/25 = 12 × 42/25 × 42 = 504/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
24/42 = 24 × 25/42 × 25 = 600/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 504/1050 < 600/1050 or 12/25 < 24/42
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