Compare 8/40 and 45/16
1st number: 8/40, 2nd number: 2 13/16
8/40 is smaller than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 16 is 80
Next, find the equivalent fraction of both fractional numbers with denominator 80 - For the 1st fraction, since 40 × 2 = 80,
8/40 = 8 × 2/40 × 2 = 16/80 - Likewise, for the 2nd fraction, since 16 × 5 = 80,
45/16 = 45 × 5/16 × 5 = 225/80 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/80 < 225/80 or 8/40 < 45/16
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