Compare 28/60 and 42/75
28/60 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 60 × 5 = 300,
28/60 = 28 × 5/60 × 5 = 140/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
42/75 = 42 × 4/75 × 4 = 168/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/300 < 168/300 or 28/60 < 42/75
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