12 , 53

To find the LCD of a set of numbers (12,53), find the LCM of the denominators.

LCM(2,3)

Calculate the LCM of first two denominators in the list, 2 and 3.

Find the values of the numerical part of each term. Select the largest one, which in this case is 3. Multiply them together to get the current total. In this case, the current total is 6.

Current Total = 6

Multiply the numeric part of the denominators together.

Current Total = 3+3=6

Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.

6

6

6

The denominators can be made equal by finding the least common denominator (LCD), which is 6 in this case. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.

12⋅33,53⋅22

Multiply both fractions.

36,106

The numerator of the first fraction 3 is less than the numerator of the second fraction 10, which means that the first fraction 36 is less than the second fraction 106 and that 12 is less than 53.

12<53

Compare 1/2 , 5/3