# What is 500 309/106 as a decimal?

There are different ways to represent the same number: fractions, decimals, and even percentages. In this particular guide, let’s explore how we can use the division method to convert 500 309/106 to a decimal.

## Solution: 500 309/106 as a decimal is 502.92

Methods

### First step – Making the fraction improper:

The first step to changing 500 309/106 into a decimal is to change it to an improper fraction. To do that, we need to multiply 500 by 106 and add its product to 309 in the numerator to get: 53309/106. Now we will attempt to convert 53309/106 to a decimal using the following method:

### Explanation using the division method:

One method to convert 53309/106 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 53309 by the denominator 106:

53309 (numerator) ÷ 106 (denominator) = 502.92

And there you go! We got 502.92 as the answer when you convert 500 309/106 (or 53309/106) to a decimal.

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