Compare 14/48 and 42/75
14/48 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 48 × 25 = 1200,
14/48 = 14 × 25/48 × 25 = 350/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
42/75 = 42 × 16/75 × 16 = 672/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 350/1200 < 672/1200 or 14/48 < 42/75
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