Question

Compare 9/10 or 11/12

Answer 1

Step 1: Reduce (simplify) entered fractions to lowest terms, if the case: Fraction: 9 / 10 it's already reduced to lowest terms Fraction: 11 / 12 it's already reduced to lowest terms Step 2: Calculate LCM (lowest common multiple) of the reduced fractions' denominators, it will be the common denominator of the compared fractions: Denominator 10, factored = 2 * 5 Denominator 12, factored = 22 * 3 LCM (10, 12) = 22 * 3 * 5 = 60 Step 3: Calculate each fraction's expanding number (LCM divided by each fraction's denominator): For fraction: 9 / 10 is 60 : 10 = (22 * 3 * 5) : 10 = 6 For fraction: 11 / 12 is 60 : 12 = (22 * 3 * 5) : 12 = 5 Step 4: Expand fractions to bring them to the common denominator (LCM): 9 / 10 = (6 * 9) / (6 * 10) = 54 / 60 11 / 12 = (5 * 11) / (5 * 12) = 55 / 60

Answer 2

11/12 is greater than 9/10.


If you find the least common multiple, or a shared multiple of the both numbers at all, you'd convert both fractions so that they are equivalent and see which has the greater numerator.

I used 60 as the denominator because 10×6= 60 and 12×5=60. Then I converted them into equivalent fractions.

9/10 = 54/60      11/12 = 55/60
55/60 is greater than 54/60, so 11/12 is greater.