Compare 40/12 and 84/5
1st number: 3 4/12, 2nd number: 16 4/5
40/12 is smaller than 84/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 5 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
40/12 = 40 × 5/12 × 5 = 200/60 - Likewise, for the 2nd fraction, since 5 × 12 = 60,
84/5 = 84 × 12/5 × 12 = 1008/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/60 < 1008/60 or 40/12 < 84/5
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