Compare 18/48 and 45/75
18/48 is smaller than 45/75
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,
18/48 = 18 × 25/48 × 25 = 450/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
45/75 = 45 × 16/75 × 16 = 720/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/1200 < 720/1200 or 18/48 < 45/75
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