Compare 1/7 and 15/24
1/7 is smaller than 15/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 7 × 24 = 168,
1/7 = 1 × 24/7 × 24 = 24/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
15/24 = 15 × 7/24 × 7 = 105/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/168 < 105/168 or 1/7 < 15/24
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