Compare 40/84 and 27/7
1st number: 40/84, 2nd number: 3 6/7
40/84 is smaller than 27/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 7 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
40/84 = 40 × 1/84 × 1 = 40/84 - Likewise, for the 2nd fraction, since 7 × 12 = 84,
27/7 = 27 × 12/7 × 12 = 324/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/84 < 324/84 or 40/84 < 27/7
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