Compare 4/75 and 28/48
4/75 is smaller than 28/48
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,
4/75 = 4 × 16/75 × 16 = 64/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
28/48 = 28 × 25/48 × 25 = 700/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/1200 < 700/1200 or 4/75 < 28/48
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