What is 8 35/9 as a decimal?

Answer: 8359\textbf{8}\frac{\textbf{35}}{\textbf{9}} as a decimal is 11.889

Converting the fraction to an improper fraction

To convert 8359\normalsize{8}\frac{\normalsize{35}}{\normalsize{9}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 9 then add the result to 35 in the numerator,

= (8  ×  9)  +  359\frac{\left(\normalsize{8}\;\times\;\normalsize{9}\right) \;+\; \normalsize{35}}{\normalsize{9}}

= 1079\frac{\normalsize{107}}{\normalsize{9}}

Next, we will convert 1079\frac{\normalsize{107}}{\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 107 by the denominator 9.

107 (numerator) ÷ 9 (denominator) = 11.889

This division gives us the decimal equivalent of the fraction.

So, when you change 1079\frac{107}{9} to a decimal, your answer will be 11.889

The following animation demonstrates the Division method,

undefined 8 undefined 8 undefined 8 undefined 1 . 1 9 1 0 7 . 0 0 0 - 9 1 7 - 9 8 0 - 7 2 8 0 - 7 2 8 0 - 7 2 8 Quotient Dividend Divisor Remainder 107 ÷ 9 = 11.888 ©AskMathGuru
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