Compare 12/24 and 40/7
1st number: 12/24, 2nd number: 5 5/7
12/24 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 7 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
12/24 = 12 × 7/24 × 7 = 84/168 - Likewise, for the 2nd fraction, since 7 × 24 = 168,
40/7 = 40 × 24/7 × 24 = 960/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/168 < 960/168 or 12/24 < 40/7
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