Compare 28/42 and 40/54
28/42 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
28/42 = 28 × 9/42 × 9 = 252/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/378 < 280/378 or 28/42 < 40/54
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