Compare 2/15 and 21/24
2/15 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 15 × 8 = 120,
2/15 = 2 × 8/15 × 8 = 16/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/120 < 105/120 or 2/15 < 21/24
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