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Comparing fractions using the L.C.M of the denominator

Answer Text:
Comparing fractions using the L.C.M of the denominator:
When comparing fractions, they are first converted into their equivalent forms using the same denominator. Equivalent Fractions To get the equivalent fractions, we multiply or divide the numerator and denominator of a given fraction by the same number. When the fraction has no factor in common other than 1, the fraction is said to be in its simplest form.
Example Arrange the following fractions in ascending order (from the smallest to the biggest):
#1 /2 ,1/4 , 5/6 , 2/3#
Step 1: Change all the fractions to the same denominator.
Step 2: In this case we will use 12 because 2, 4, 6, and 3 all go into i.e. We get 12 by finding the L.C.M of the denominators. To get the equivalent fractions divide the denominator by the L.C.M and then multiply both the numerator and denominator by the answer, For #1/2#we divide #12 -:2 =6#, then multiply both the numerator and denominator by 6 as shown below.
#(1 times 6)/(2 times 6)#, #(1 times 3)/(4 times 3)#, #(5 times 2)/(6 times 2)#, #(2 times 4)/(3 times 4)#
Step 3: The fractions will now be: #6/12 , 3/12 , 10/12 , 8/12#
Step 4: Now put your fractions in order (smallest to biggest.)
#3/12 , 6/12, 8/12,10/12#
Step 5: Change back, keeping them in order. #1/4 , 1/2 ,2/3 ,5/6#