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# Learning How to Convert Fractions into Decimals | Aloteen

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Last time we talked math we went over a classic algebra practice problem and learned how to solve for x. Today, in the latest edition of Math with Margo, converting fractions into decimals is a breeze!

In this simple tutorial, our resident math expert will walk you through an easy-to-follow example!

### How to convert fractions into decimals

Problem: How is the fraction ⅚ represented as a decimal? #### Step One: Write out the problem

The fraction bar is also known as division, so this can be read as 5 divided by 6. #### Step Two: Divide the fraction

Since 6 does not go into 5, we must add a decimal and a 0 after 5.

5 and 5.0 are equivalent. Just like saying \$5 or \$5.00, they are both equal in value. You can add a decimal and as many 0s, and it still won’t change its value.

Now ask yourself, how many times does 6 go into 50? 8 is correct, since 6 times 8 equals 48, which is as close as you can get to 50 without going over.

(Make sure you bring the decimal straight up.)  #### Step 3: Address the remainder

Since we have a remainder of 2, we need to add another 0 to the end of 5.0 and bring the 0 down. Now ask yourself, how many times does 6 go into 20? 3 is correct, since 3 x 8 = 18, which is as close as you can get to 20 without going over. #### Step Four: Identify the repeating remainder You might notice a pattern forming. You are right!

You will continually get a remainder of 2, and instead of writing 3 over and over again, we place a bar over the number(s) that are repeating. In this case, only the 3 is repeating, so we write our final answer as (above). This means that ⅚ = .83. This makes sense since ⅚ is close to one whole, and . 83 is also close to one whole. Congratulations! You did it. Wondering how to convert decimals into fractions? We’ve got you covered in this related post.

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