Compare 75/27 and 98/12
1st number: 2 21/27, 2nd number: 8 2/12
75/27 is smaller than 98/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 12 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
75/27 = 75 × 4/27 × 4 = 300/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
98/12 = 98 × 9/12 × 9 = 882/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/108 < 882/108 or 75/27 < 98/12
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