Compare 18/24 and 16/42
18/24 is greater than 16/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 42 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
18/24 = 18 × 7/24 × 7 = 126/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
16/42 = 16 × 4/42 × 4 = 64/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/168 > 64/168 or 18/24 > 16/42
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