Compare 40/12 and 45/8
1st number: 3 4/12, 2nd number: 5 5/8
40/12 is smaller than 45/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 12 × 2 = 24,
40/12 = 40 × 2/12 × 2 = 80/24 - Likewise, for the 2nd fraction, since 8 × 3 = 24,
45/8 = 45 × 3/8 × 3 = 135/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/24 < 135/24 or 40/12 < 45/8
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