Compare 8/75 and 18/48
8/75 is smaller than 18/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
8/75 = 8 × 16/75 × 16 = 128/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
18/48 = 18 × 25/48 × 25 = 450/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/1200 < 450/1200 or 8/75 < 18/48
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