What is 66 2/5 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 2/5 to a decimal.

Solution: 66 2/5 as a decimal is 66.4

Methods

First step – Making the fraction improper:

The first step to changing 66 2/5 into a decimal is to change it to an improper fraction. To do that, we need to multiply 66 by 5 and add its product to 2 in the numerator to get: 332/5. Now we will attempt to convert 332/5 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

One method to convert 332/5 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 332 by the denominator 5:

332 (numerator) ÷ 5 (denominator) = 66.4

And there you go! We got 66.4 as the answer when you convert 66 2/5 (or 332/5) to a decimal.

Method 2 – Explanation using the factors of 10 method:

In this method, we will convert the denominator into a power of 10 and then our fraction will be easier to calculate. If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert it into a power of 10.

In order to make 5 a power of 10, we need to multiply by 2 (5 * 2 = 10. Since we multiplied the denominator by 2, we also need to multiply the numerator by 2 too:

$\frac{332 * 2}{5 * 2} = \frac{664}{10} = 66.4$

And finally, you get 66.4 as your answer when you convert 66 2/5 (or 332/5) to a decimal. 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

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