# How do you add a fraction to a decimal?

##### 2 Answers

You need to convert them to similar format. Either both to decimal format or both to fractions.

#### Explanation:

There could be two ways of adding a fraction to a decimal.

**(1)** Convert fraction to the decimal format and add. If desired or required, the sum can again be converted into fraction.

**(2)** Convert the decimal to a fraction and then add two fractions together.

You need to either convert the decimal to a fraction or the fraction to a decimal.

#### Explanation:

Or at least that's the easiest way to go about adding a fraction to a decimal. For all intents and purposes (or porpoises) lets consider an example with fairly straight-forward numbers (no repeating decimals here). Lets say we wanted to add

"Uhhhh... that doesn't look nice..."

**Courtesy of: http://www.hakaproducts.com/voice-of-the-customer-lost-in-space/**

**---------------------Converting to a decimal-----------------------**

To convert a decimal to a fraction all we need to do is divide the *numerator (top number) by the denominator** (bottom number). Like this:

Which, again, is the same as:

We know this because

So now that we know what both numbers are in decimal form we can add the two numbers, like so:

**---------------------Converting to a Fraction-----------------------**

As I mentioned above we can also convert the decimal

This also means that:

Since it takes two

Now that we know that

This is a little more tricky since we can't just add the two fractions, we have to find a common denominator. The easiest way to do this is to multiply the numerator and denominator of one by the denominator of the other, like so:

and

Now we can add both of these fractions together like this:

If we divide any number less than ten by **one place to the left**. This can be expressed as an equation:

Surprise! We arrived at the same answer using two different methods!

I hope this helped!