Arithmetic Grade Six

Lesson One Hundred-seven: Subtracting Mixed Numbers


If you can add mixed numbers, you can subtract them too. Here are the basic steps involved in subtracting mixed numbers with unlike denominators.
Sample Problem: 3 3/4 - 2 1/8.
Step One: Find LCD. The LCD of 4 and 8 is 8.
Step Two: Convert fractions. Change 3/4 to 6/8 and 1/8 is fine the way it is since it already has a denominator of 8.
Step Three: Subtract whole numbers. 3 6/8 - 2 1/8 = 1 + ( 6/8 - 1/8 ).
Step Four: Subtract the fractions. 1 + 5/8.
Step Five: Reduce the fraction (if necessary) 1 5/8.
ANSWER: 1 5/8.
Here's another example:
Sample Problem: 3 5/6 - 1 1/4.
Step One: Find LCD. The LCD of 6 and 4 is 12.
Step Two: Convert fractions. Change 5/6 to 10/12 and change 1/4 to 3/12.
Step Three: Subtract whole numbers. 3 10/12 - 1 3/12 = 2 + ( 10/12 - 3/12 ).
Step Four: Subtract the fractions. 2 + 7/12.
Step Five: Reduce the fraction (if necessary) 2 7/12.
ANSWER: 2 7/12.


Now you get to try a few for yourself.

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