Compare 27/4 and 81/7
1st number: 6 3/4, 2nd number: 11 4/7
27/4 is smaller than 81/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
27/4 = 27 × 7/4 × 7 = 189/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
81/7 = 81 × 4/7 × 4 = 324/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/28 < 324/28 or 27/4 < 81/7
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