What is 5 83/9 as a decimal?

Answer: 5839\textbf{5}\frac{\textbf{83}}{\textbf{9}} as a decimal is 14.222

Converting the fraction to an improper fraction

To convert 5839\normalsize{5}\frac{\normalsize{83}}{\normalsize{9}} into a decimal, we start by converting it to an improper fraction. First, multiply 5 by 9 then add the result to 83 in the numerator,

= (5  ×  9)  +  839\frac{\left(\normalsize{5}\;\times\;\normalsize{9}\right) \;+\; \normalsize{83}}{\normalsize{9}}

= 1289\frac{\normalsize{128}}{\normalsize{9}}

Next, we will convert 1289\frac{\normalsize{128}}{\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 128 by the denominator 9.

128 (numerator) ÷ 9 (denominator) = 14.222

This division gives us the decimal equivalent of the fraction.

So, when you change 1289\frac{128}{9} to a decimal, your answer will be 14.222

The following animation demonstrates the Division method,

undefined 2 undefined 2 undefined 2 undefined 4 . 1 9 1 2 8 . 0 0 0 - 9 3 8 - 3 6 2 0 - 1 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 128 ÷ 9 = 14.222 ©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

More Math, More Fun!