What is 8 91/3 as a decimal?

Answer: 8913\textbf{8}\frac{\textbf{91}}{\textbf{3}} as a decimal is 38.333

Converting the fraction to an improper fraction

To convert 8913\normalsize{8}\frac{\normalsize{91}}{\normalsize{3}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 3 then add the result to 91 in the numerator,

= (8  ×  3)  +  913\frac{\left(\normalsize{8}\;\times\;\normalsize{3}\right) \;+\; \normalsize{91}}{\normalsize{3}}

= 1153\frac{\normalsize{115}}{\normalsize{3}}

Next, we will convert 1153\frac{\normalsize{115}}{\normalsize{3}} ​ 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 115 by the denominator 3.

115 (numerator) ÷ 3 (denominator) = 38.333

This division gives us the decimal equivalent of the fraction.

So, when you change 1153\frac{115}{3} to a decimal, your answer will be 38.333

The following animation demonstrates the Division method,

undefined 3 undefined 3 undefined 3 undefined 8 . 3 3 1 1 5 . 0 0 0 - 9 2 5 - 2 4 1 0 - 9 1 0 - 9 1 0 - 9 1 Quotient Dividend Divisor Remainder 115 ÷ 3 = 38.333 ©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

Let's Crunch Some Numbers!