What is 66 2/3 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 66 2/3 to a decimal.

Solution: 66 2/3 as a decimal is 66.67


First step – Making the fraction improper:

The first step to changing 66 2/3 into a decimal is to change it to an improper fraction. To do that, we need to multiply 66 by 3 and add its product to 2 in the numerator to get: 200/3. Now we will attempt to convert 200/3 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

One method to convert 200/3 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 200 by the denominator 3:

200 (numerator) ÷ 3 (denominator) = 66.67

And there you go! We got 66.67 as the answer when you convert 66 2/3 (or 200/3) to a decimal.

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