Compare 32/5 and 27/30
1st number: 6 2/5, 2nd number: 27/30
32/5 is greater than 27/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 5 × 6 = 30,
32/5 = 32 × 6/5 × 6 = 192/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
27/30 = 27 × 1/30 × 1 = 27/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/30 > 27/30 or 32/5 > 27/30
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