Compare 27/6 and 75/10
1st number: 4 3/6, 2nd number: 7 5/10
27/6 is smaller than 75/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 10 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 6 × 5 = 30,
27/6 = 27 × 5/6 × 5 = 135/30 - Likewise, for the 2nd fraction, since 10 × 3 = 30,
75/10 = 75 × 3/10 × 3 = 225/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/30 < 225/30 or 27/6 < 75/10
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