Compare 10/54 and 42/80
10/54 is smaller than 42/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 80 is 2160
Next, find the equivalent fraction of both fractional numbers with denominator 2160 - For the 1st fraction, since 54 × 40 = 2160,
10/54 = 10 × 40/54 × 40 = 400/2160 - Likewise, for the 2nd fraction, since 80 × 27 = 2160,
42/80 = 42 × 27/80 × 27 = 1134/2160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/2160 < 1134/2160 or 10/54 < 42/80
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