Compare 45/96 and 84/40
1st number: 45/96, 2nd number: 2 4/40
45/96 is smaller than 84/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 40 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
45/96 = 45 × 5/96 × 5 = 225/480 - Likewise, for the 2nd fraction, since 40 × 12 = 480,
84/40 = 84 × 12/40 × 12 = 1008/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/480 < 1008/480 or 45/96 < 84/40
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