Compare 8/27 and 48/7
1st number: 8/27, 2nd number: 6 6/7
8/27 is smaller than 48/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
8/27 = 8 × 7/27 × 7 = 56/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
48/7 = 48 × 27/7 × 27 = 1296/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/189 < 1296/189 or 8/27 < 48/7
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