# Improper Fractions

At times you may end up with a strange looking fraction that has a numerator that

is larger than a denominator. This is called an improper fraction. In general, you don’t

want this, but don’t worry! There’s an easy way to fix it—you turn it into a mixed

number. When you have a fraction that looks like this: 9/7, simply divide the numerator

by the denominator (divide the top number by the bottom number).

Instead of writing your remainder as r 2, turn it into a fraction by putting the

remainder over the divisor (7).

Now, your answer is 1 2/7. Make sure you don’t need to reduce it (this one is already

reduced) and you’re done!

Let’s try this one more time. Let’s say you have a fraction that looks like this:

Now, we would set up normal long division, which would look like this:

Once you get your answer as a mixed number, check the fraction to make sure that

it does not need to be reduced. (This one does not.)

Thus, your final answer is 24 3/5.

Note: there are some times where you need to use improper fractions, such as when

you’re subtracting mixed numbers. Take a look at this example:

First, we found common denominators so that we can do subtraction, however, the

top fraction is smaller than the bottom fraction, so we have to borrow from the

whole number so that we can subtract. We cross out the 4 and make it a 3, and then

add “1” (in its fraction form) to the top fraction, like this:

Notice the red fraction. After we borrow and add 1 in its fraction form, we end

up with an improper fraction. However, that’s okay, because in this case we need

an improper fraction so that we can do the subtraction. Our final answer is 1 13/15.

Check and make sure it’s reduced all the way (this one is) and we’re done!