Compare 42/75 and 35/36
42/75 is smaller than 35/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 36 is 900
Next, find the equivalent fraction of both fractional numbers with denominator 900 - For the 1st fraction, since 75 × 12 = 900,
42/75 = 42 × 12/75 × 12 = 504/900 - Likewise, for the 2nd fraction, since 36 × 25 = 900,
35/36 = 35 × 25/36 × 25 = 875/900 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 504/900 < 875/900 or 42/75 < 35/36
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