# What is 6 123/120 as a decimal?

There are a lot of different ways you can convert a number into (decimals, percentages, and more) but in this guide, we’ll demonstrate how to use the division method to convert a fraction to a decimal.

## Solution: 6 123/120 as a decimal is 7.03

Methods

### First step – Making the fraction improper:

The first step to changing 6 123/120 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 120 and add its product to 123 in the numerator to get: 843/120. Now we will attempt to convert 843/120 to a decimal using the following method:

### Explanation using the division method:

Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 843 by the denominator 120 to get the decimal:

843 (numerator) ÷ 120 (denominator) = 7.03

That’s it! When you convert 6 123/120 (or 843/120) to a decimal, 7.03 is your answer.

### Master fraction to decimal conversions

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