Compare 40/3 and 45/84
1st number: 13 1/3, 2nd number: 45/84
40/3 is greater than 45/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 3 × 28 = 84,
40/3 = 40 × 28/3 × 28 = 1120/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
45/84 = 45 × 1/84 × 1 = 45/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/84 > 45/84 or 40/3 > 45/84
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