Compare 14/36 and 42/75
14/36 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 75 is 900
Next, find the equivalent fraction of both fractional numbers with denominator 900 - For the 1st fraction, since 36 × 25 = 900,
14/36 = 14 × 25/36 × 25 = 350/900 - Likewise, for the 2nd fraction, since 75 × 12 = 900,
42/75 = 42 × 12/75 × 12 = 504/900 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 350/900 < 504/900 or 14/36 < 42/75
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