Compare 42/75 and 56/9
1st number: 42/75, 2nd number: 6 2/9
42/75 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
42/75 = 42 × 3/75 × 3 = 126/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
56/9 = 56 × 25/9 × 25 = 1400/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/225 < 1400/225 or 42/75 < 56/9
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