Compare 8/42 and 9/24
8/42 is smaller than 9/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 42 × 4 = 168,
8/42 = 8 × 4/42 × 4 = 32/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
9/24 = 9 × 7/24 × 7 = 63/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/168 < 63/168 or 8/42 < 9/24
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