Compare 84/5 and 40/28
1st number: 16 4/5, 2nd number: 1 12/28
84/5 is greater than 40/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 5 × 28 = 140,
84/5 = 84 × 28/5 × 28 = 2352/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
40/28 = 40 × 5/28 × 5 = 200/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2352/140 > 200/140 or 84/5 > 40/28
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