What is 7 5/6 as a decimal?

Today, we will walk you through how to convert 7 5/6 to a decimal. In this particular guide we’ll show how to use the division method, one of the easiest ways to convert a fraction to a decimal.

Solution: 7 5/6 as a decimal is 7.83

Methods

First step – Making the fraction improper:

The first step to changing 7 5/6 into a decimal is to change it to an improper fraction. To do that, we need to multiply 7 by 6 and add its product to 5 in the numerator to get: 47/6. Now we will attempt to convert 47/6 to a decimal using one of the following methods:

Explanation using the division method:

A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 47 by the denominator 6:

47 (numerator) ÷ 6 (denominator) = 7.83

As a result, you get 7.83 as your answer when you convert 7 5/6 (or 47/6) to a decimal. 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

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