What is 8 76/3 as a decimal?

Answer: 8763\textbf{8}\frac{\textbf{76}}{\textbf{3}} as a decimal is 33.333

Converting the fraction to an improper fraction

To convert 8763\normalsize{8}\frac{\normalsize{76}}{\normalsize{3}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 3 then add the result to 76 in the numerator,

= (8  ×  3)  +  763\frac{\left(\normalsize{8}\;\times\;\normalsize{3}\right) \;+\; \normalsize{76}}{\normalsize{3}}

= 1003\frac{\normalsize{100}}{\normalsize{3}}

Next, we will convert 1003\frac{\normalsize{100}}{\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 100 by the denominator 3.

100 (numerator) ÷ 3 (denominator) = 33.333

This division gives us the decimal equivalent of the fraction.

So, when you change 1003\frac{100}{3} to a decimal, your answer will be 33.333

The following animation demonstrates the Division method,

undefined 3 undefined 3 undefined 3 undefined 3 . 3 3 1 0 0 . 0 0 0 - 9 1 0 - 9 1 0 - 9 1 0 - 9 1 0 - 9 1 Quotient Dividend Divisor Remainder 100 ÷ 3 = 33.333 ©AskMathGuru
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