Compare 10/24 and 49/14
1st number: 10/24, 2nd number: 3 7/14
10/24 is smaller than 49/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 14 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
10/24 = 10 × 7/24 × 7 = 70/168 - Likewise, for the 2nd fraction, since 14 × 12 = 168,
49/14 = 49 × 12/14 × 12 = 588/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/168 < 588/168 or 10/24 < 49/14
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