What is 8 54/3 as a decimal?

Answer: 8543\textbf{8}\frac{\textbf{54}}{\textbf{3}} as a decimal is 26

Converting the fraction to an improper fraction

To convert 8543\normalsize{8}\frac{\normalsize{54}}{\normalsize{3}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 3 then add the result to 54 in the numerator,

= (8  ×  3)  +  543\frac{\left(\normalsize{8}\;\times\;\normalsize{3}\right) \;+\; \normalsize{54}}{\normalsize{3}}

= 783\frac{\normalsize{78}}{\normalsize{3}}

Next, we will convert 783\frac{\normalsize{78}}{\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 78 by the denominator 3.

78 (numerator) ÷ 3 (denominator) = 26

This division gives us the decimal equivalent of the fraction.

So, when you change 783\frac{78}{3} to a decimal, your answer will be 26

The following animation demonstrates the Division method,

2 undefined 6 3 7 8 - 6 1 8 - 1 8 0 Quotient Dividend Divisor Remainder 78 ÷ 3 = 26, R = 0 ©AskMathGuru
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