Compare 84/5 and 75/40
1st number: 16 4/5, 2nd number: 1 35/40
84/5 is greater than 75/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 5 × 8 = 40,
84/5 = 84 × 8/5 × 8 = 672/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
75/40 = 75 × 1/40 × 1 = 75/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 672/40 > 75/40 or 84/5 > 75/40
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