What is 8 88/6 as a decimal?

Answer: 8886\textbf{8}\frac{\textbf{88}}{\textbf{6}} as a decimal is 22.667

Converting the fraction to an improper fraction

To convert 8886\normalsize{8}\frac{\normalsize{88}}{\normalsize{6}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 6 then add the result to 88 in the numerator,

= (8  ×  6)  +  886\frac{\left(\normalsize{8}\;\times\;\normalsize{6}\right) \;+\; \normalsize{88}}{\normalsize{6}}

= 1366\frac{\normalsize{136}}{\normalsize{6}}

Next, we will convert 1366\frac{\normalsize{136}}{\normalsize{6}} ​ 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 136 by the denominator 6.

136 (numerator) ÷ 6 (denominator) = 22.667

This division gives us the decimal equivalent of the fraction.

So, when you change 1366\frac{136}{6} to a decimal, your answer will be 22.667

The following animation demonstrates the Division method,

undefined 6 undefined 6 undefined 6 undefined 2 . 2 6 1 3 6 . 0 0 0 - 1 2 1 6 - 1 2 4 0 - 3 6 4 0 - 3 6 4 0 - 3 6 4 Quotient Dividend Divisor Remainder 136 ÷ 6 = 22.666 ©AskMathGuru
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