Compare 3/5 and 49/24
1st number: 3/5, 2nd number: 2 1/24
3/5 is smaller than 49/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 5 × 24 = 120,
3/5 = 3 × 24/5 × 24 = 72/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
49/24 = 49 × 5/24 × 5 = 245/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/120 < 245/120 or 3/5 < 49/24
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