Compare 30/7 and 32/27
1st number: 4 2/7, 2nd number: 1 5/27
30/7 is greater than 32/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
30/7 = 30 × 27/7 × 27 = 810/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
32/27 = 32 × 7/27 × 7 = 224/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/189 > 224/189 or 30/7 > 32/27
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