Compare 42/8 and 40/12
1st number: 5 2/8, 2nd number: 3 4/12
42/8 is greater than 40/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 12 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 8 × 3 = 24,
42/8 = 42 × 3/8 × 3 = 126/24 - Likewise, for the 2nd fraction, since 12 × 2 = 24,
40/12 = 40 × 2/12 × 2 = 80/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/24 > 80/24 or 42/8 > 40/12
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