# What is 1 109/33 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 1 109/33 to a decimal.

## Solution: 1 109/33 as a decimal is 4.3

Methods

### First step – Making the fraction improper:

The first step to changing 1 109/33 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 33 and add its product to 109 in the numerator to get: 142/33. Now we will attempt to convert 142/33 to a decimal using the following method:

### Explanation using the division method:

One method to convert 142/33 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 142 by the denominator 33:

142 (numerator) ÷ 33 (denominator) = 4.3

And there you go! We got 4.3 as the answer when you convert 1 109/33 (or 142/33) to a decimal.

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