What is 8 89/6 as a decimal?

Answer: 8896\textbf{8}\frac{\textbf{89}}{\textbf{6}} as a decimal is 22.833

Converting the fraction to an improper fraction

To convert 8896\normalsize{8}\frac{\normalsize{89}}{\normalsize{6}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 6 then add the result to 89 in the numerator,

= (8  ×  6)  +  896\frac{\left(\normalsize{8}\;\times\;\normalsize{6}\right) \;+\; \normalsize{89}}{\normalsize{6}}

= 1376\frac{\normalsize{137}}{\normalsize{6}}

Next, we will convert 1376\frac{\normalsize{137}}{\normalsize{6}} ​ to a decimal using the following method.

Solve using the Division Method

A fraction is made up of two parts: the numerator, which is the number on top, and the denominator, which is the number on the bottom. We can find the decimal equivalent by dividing the numerator 137 by the denominator 6.

137 (numerator) ÷ 6 (denominator) = 22.833

This division gives us the decimal equivalent of the fraction.

So, when you change 1376\frac{137}{6} to a decimal, your answer will be 22.833

The following animation demonstrates the Division method,

undefined 3 undefined 3 undefined 8 undefined 2 . 2 6 1 3 7 . 0 0 0 - 1 2 1 7 - 1 2 5 0 - 4 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 137 ÷ 6 = 22.833 ©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!

Review Sub Calculations