Most of us are familiar with decimals and fractions but explaining how to work with them to our kids is a different story. Homework Unlocked is here to help. Homework Unlocked offers homework help to parents so you can help your kids excel in math. Here, Homework Unlocked reviews how to convert a decimal into a fraction.

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## Converting Decimals to Fractions

Converting Decimals to Fractions is a little tricky but don’t get intimidated. To show your kids how to convert Decimals to Fractions, follow these three steps: 1) Rewrite the expression as a fraction. 2) Convert the numerator to a whole number and 3) simplify.

Let’s walk through these steps using a real example

**Example 1.** Convert 0.50 into a fraction.

Step 1. Rewrite 0.50 as a fraction

All numbers can be rewritten as a fraction with a denominator of 1. In other words,

this is true for all number values of x

So for our first example we can rewrite 0.50 as,

Step 2. Change the numerator into a whole number. To change a decimal into a whole number we have to shift the decimal place to the right.

You can move a decimal place to the right by multiplying by multiples of 10, and move a decimal place to the left by dividing by multiples of 10.

In this example, we only need to move the decimal point one place to the right to make 0.50 a whole number, 5. Therefore, we only have to multiply 0.50 by 10

0.50 x 10 = 5

Remember, we don’t want to change the value of our number so anything we do to the numerator we have to also do to the denominator.

Step 3. Simplify. First, check to see if the numerator can fit evenly into to the denominator. In this example it does, 10 divided by 5 equal 2, 5 divided by 5 equal 1.

Let’s try a more complex example.

**Example 2.** Convert 0.875

Step 1. First let’s write 0.875 as a fraction,

Step 2. Now we need to figure out how to make 0.875 into a whole number. The decimal place has to shift 3 places to the right to make 0.875 a whole number. Therefore, we need to multiply the top and bottom by 1000.

Step 3. Simplify. The largest number that fits into the numerator and the denominator is 125 so divide 875 and 1000 by 125 to give us our simplified fraction

thus,

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