Compare 40/3 and 45/16
1st number: 13 1/3, 2nd number: 2 13/16
40/3 is greater than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 3 × 16 = 48,
40/3 = 40 × 16/3 × 16 = 640/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
45/16 = 45 × 3/16 × 3 = 135/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/48 > 135/48 or 40/3 > 45/16
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