Compare 5/24 and 2/5
5/24 is smaller than 2/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 5 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 24 × 5 = 120,
5/24 = 5 × 5/24 × 5 = 25/120 - Likewise, for the 2nd fraction, since 5 × 24 = 120,
2/5 = 2 × 24/5 × 24 = 48/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 25/120 < 48/120 or 5/24 < 2/5
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