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Use a model to subtract. Draw a picture to illustrate your model.
Use a model to subtract. Draw a picture to illustrate your model.
Now we will subtract mixed numbers without using a model. But it may help to picture the model in your mind as you read the steps.
Find the difference:
Rewrite the problem in vertical form. | |
Since is less than , take 1 from the 5 and add it to the | |
Subtract the fractions. | |
Subtract the whole parts.
The result is in simplest form. |
Since the problem was given with mixed numbers, we leave the result as mixed numbers.
Just as we did with addition, we could subtract mixed numbers by converting them first to improper fractions. We should write the answer in the form it was given, so if we are given mixed numbers to subtract we will write the answer as a mixed number .
Step 1. Rewrite the mixed numbers as improper fractions.
Step 2. Subtract the numerators.
Step 3. Write the answer as a mixed number, simplifying the fraction part, if possible.
Find the difference by converting to improper fractions:
Rewrite as improper fractions. | |
Subtract the numerators. | |
Rewrite as a mixed number. |
Find the difference by converting the mixed numbers to improper fractions:
Find the difference by converting the mixed numbers to improper fractions:
To add or subtract mixed numbers with different denominators, we first convert the fractions to equivalent fractions with the LCD. Then we can follow all the steps we used above for adding or subtracting fractions with like denominators.
Add:
Since the denominators are different, we rewrite the fractions as equivalent fractions with the LCD, Then we will add and simplify.
We write the answer as a mixed number because we were given mixed numbers in the problem.
Subtract:
Since the denominators of the fractions are different, we will rewrite them as equivalent fractions with the LCD Once in that form, we will subtract. But we will need to borrow first.
We were given mixed numbers, so we leave the answer as a mixed number.
Subtract:
We can see the answer will be negative since we are subtracting from Generally, when we know the answer will be negative it is easier to subtract with improper fractions rather than mixed numbers.
Change to equivalent fractions with the LCD. |
|
Rewrite as improper fractions. | |
Subtract. | |
Rewrite as a mixed number. |
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