What is 8 66/7 as a decimal?

Answer: 8667\textbf{8}\frac{\textbf{66}}{\textbf{7}} as a decimal is 17.429

Converting the fraction to an improper fraction

To convert 8667\normalsize{8}\frac{\normalsize{66}}{\normalsize{7}} into a decimal, we start by converting it to an improper fraction. First, multiply 8 by 7 then add the result to 66 in the numerator,

= (8  ×  7)  +  667\frac{\left(\normalsize{8}\;\times\;\normalsize{7}\right) \;+\; \normalsize{66}}{\normalsize{7}}

= 1227\frac{\normalsize{122}}{\normalsize{7}}

Next, we will convert 1227\frac{\normalsize{122}}{\normalsize{7}} ​ 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 122 by the denominator 7.

122 (numerator) ÷ 7 (denominator) = 17.429

This division gives us the decimal equivalent of the fraction.

So, when you change 1227\frac{122}{7} to a decimal, your answer will be 17.429

The following animation demonstrates the Division method,

undefined 8 undefined 2 undefined 4 undefined 7 . 1 7 1 2 2 . 0 0 0 - 7 5 2 - 4 9 3 0 - 2 8 2 0 - 1 4 6 0 - 5 6 4 Quotient Dividend Divisor Remainder 122 ÷ 7 = 17.428 ©AskMathGuru
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