Compare 42/75 and 16/12
1st number: 42/75, 2nd number: 1 4/12
42/75 is smaller than 16/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
42/75 = 42 × 4/75 × 4 = 168/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
16/12 = 16 × 25/12 × 25 = 400/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/300 < 400/300 or 42/75 < 16/12
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