What is 8 83/9 as a decimal?

Answer: 8839\textbf{8}\frac{\textbf{83}}{\textbf{9}} as a decimal is 17.222

Converting the fraction to an improper fraction

To convert 8839\normalsize{8}\frac{\normalsize{83}}{\normalsize{9}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 9 then add the result to 83 in the numerator,

= (8  ×  9)  +  839\frac{\left(\normalsize{8}\;\times\;\normalsize{9}\right) \;+\; \normalsize{83}}{\normalsize{9}}

= 1559\frac{\normalsize{155}}{\normalsize{9}}

Next, we will convert 1559\frac{\normalsize{155}}{\normalsize{9}} ​ 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 155 by the denominator 9.

155 (numerator) ÷ 9 (denominator) = 17.222

This division gives us the decimal equivalent of the fraction.

So, when you change 1559\frac{155}{9} to a decimal, your answer will be 17.222

The following animation demonstrates the Division method,

undefined 2 undefined 2 undefined 2 undefined 7 . 1 9 1 5 5 . 0 0 0 - 9 6 5 - 6 3 2 0 - 1 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 155 ÷ 9 = 17.222 ©AskMathGuru
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