Compare 2/42 and 10/24
2/42 is smaller than 10/24
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,
2/42 = 2 × 4/42 × 4 = 8/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
10/24 = 10 × 7/24 × 7 = 70/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/168 < 70/168 or 2/42 < 10/24
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