What is 337 21/300 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 337 21/300 to a decimal.

Solution: 337 21/300 as a decimal is 337.07

Methods

First step – Making the fraction improper:

The first step to changing 337 21/300 into a decimal is to change it to an improper fraction. To do that, we need to multiply 337 by 300 and add its product to 21 in the numerator to get: 101121/300. Now we will attempt to convert 101121/300 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

One method to convert 101121/300 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 101121 by the denominator 300:

101121 (numerator) ÷ 300 (denominator) = 337.07

And there you go! We got 337.07 as the answer when you convert 337 21/300 (or 101121/300) to a decimal. 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

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