Compare 42/25 and 16/7
1st number: 1 17/25, 2nd number: 2 2/7
42/25 is smaller than 16/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 7 is 175
Next, find the equivalent fraction of both fractional numbers with denominator 175 - For the 1st fraction, since 25 × 7 = 175,
42/25 = 42 × 7/25 × 7 = 294/175 - Likewise, for the 2nd fraction, since 7 × 25 = 175,
16/7 = 16 × 25/7 × 25 = 400/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/175 < 400/175 or 42/25 < 16/7
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