Compare 40/15 and 42/24
1st number: 2 10/15, 2nd number: 1 18/24
40/15 is greater than 42/24
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,
40/15 = 40 × 8/15 × 8 = 320/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
42/24 = 42 × 5/24 × 5 = 210/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/120 > 210/120 or 40/15 > 42/24
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