Compare 2/24 and 7/15
2/24 is smaller than 7/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 15 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 24 × 5 = 120,
2/24 = 2 × 5/24 × 5 = 10/120 - Likewise, for the 2nd fraction, since 15 × 8 = 120,
7/15 = 7 × 8/15 × 8 = 56/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/120 < 56/120 or 2/24 < 7/15
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