Compare 24/54 and 42/49
24/54 is smaller than 42/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 49 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
24/54 = 24 × 49/54 × 49 = 1176/2646 - Likewise, for the 2nd fraction, since 49 × 54 = 2646,
42/49 = 42 × 54/49 × 54 = 2268/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1176/2646 < 2268/2646 or 24/54 < 42/49
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