Compare 12/10 and 45/24
1st number: 1 2/10, 2nd number: 1 21/24
12/10 is smaller than 45/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 10 × 12 = 120,
12/10 = 12 × 12/10 × 12 = 144/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
45/24 = 45 × 5/24 × 5 = 225/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/120 < 225/120 or 12/10 < 45/24
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