Compare 6/24 and 72/5
1st number: 6/24, 2nd number: 14 2/5
6/24 is smaller than 72/5
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,
6/24 = 6 × 5/24 × 5 = 30/120 - Likewise, for the 2nd fraction, since 5 × 24 = 120,
72/5 = 72 × 24/5 × 24 = 1728/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/120 < 1728/120 or 6/24 < 72/5
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