Compare 12/24 and 42/75
12/24 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 24 × 25 = 600,
12/24 = 12 × 25/24 × 25 = 300/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
42/75 = 42 × 8/75 × 8 = 336/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/600 < 336/600 or 12/24 < 42/75
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