Let's practice rewriting fractions with decimal numbers into division problems. Then we can solve them. First, you'll learn to move the decimal point in the numerator (top number) and in the denominator (bottom number) the same number of times. Then you'll divide.

 

Let's look at this example:

math problem

If you move the decimal point in the denominator three places, what do you do with the decimal point in the numerator? You move it three places.

math problem

Here's the fraction we started with:

math problem

Here's the fraction written as a division problem:

math problem

 

The same rule applies to the divisor (the number you're dividing by). If you move the decimal point in the divisor three places, you also move the decimal point of the dividend three places in the same direction.

math problem

You haven't changed the value because you've just multiplied by a fraction of 1.

Here's a new problem: 

math problem

It's easier to divide if this number, .56, is a whole number. To make it a whole number, move the decimal point. How many places should we move it? We should move the decimal point two places. Move the other decimal point two places in the same direction. Now you can divide, just as you always do.

math problem

Add zeros and divide. 

math problem