What is 3 160/120 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 3 160/120 to a decimal.

## Solution: 3 160/120 as a decimal is 4.33

Methods

### First step – Making the fraction improper:

The first step to changing 3 160/120 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 120 and add its product to 160 in the numerator to get: 520/120. Now we will attempt to convert 520/120 to a decimal using one of the following methods:

### Method 1 – Explanation using the division method:

One method to convert 520/120 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 520 by the denominator 120:

520 (numerator) ÷ 120 (denominator) = 4.33

And there you go! We got 4.33 as the answer when you convert 3 160/120 (or 520/120) to a decimal.

Take advantage of our free downloadable resources and study materials for at-home learning.

#### 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

Get PDF

#### How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.

Get PDF

### Your Child Can Improve Their Math Scores By 90% Within 3 months!

Our elite math tutors are ready to help make your child a math champion! Sign up for our zero \$ free trial to get started today.

Get Price