Compare 27/10 and 30/75
1st number: 2 7/10, 2nd number: 30/75
27/10 is greater than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 10 × 15 = 150,
27/10 = 27 × 15/10 × 15 = 405/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
30/75 = 30 × 2/75 × 2 = 60/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/150 > 60/150 or 27/10 > 30/75
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