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Mixed fraction subtraction

Mixed fraction subtraction with a changed denominator

This math skill teaches subtracting mixed fractions by first finding a common denominator, modifying the fractions accordingly, and then handling borrowing within the fractions to complete the subtraction.

Learn mixed fraction subtraction

Teaching Transcript

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Let's subtract these mixed fractions

First, like any time we add or subtract fractions, we need to have a common denominator. The lowest common multiple of 2 and 4 is 4

One half is equivalent to 2 quarters if we multiply top and bottom by 2

If we substitute that in, our denominators are the same, but now we can see that we have to borrow to handle our numerator

However for a fraction, when we borrow, the whole becomes a fraction. 4 quarters is a whole, so when we borrow a whole, we add 4 quarters, so we have 6 quarters.

Now, subtracting, we have one whole, and 6 minus 3, or 3, quarters.

Skill Practice

Mixed fraction subtraction with a changed denominator

Test your understanding of mixed fraction subtraction by practicing it! Work through the below exercises to use it in practice.