What is 5 17/6 as a decimal?

Answer: 5176\textbf{5}\frac{\textbf{17}}{\textbf{6}} as a decimal is 7.833

Converting the fraction to an improper fraction

To convert 5176\normalsize{5}\frac{\normalsize{17}}{\normalsize{6}} into a decimal, we start by converting it to an improper fraction. First, multiply 5 by 6 then add the result to 17 in the numerator,

= (5  ×  6)  +  176\frac{\left(\normalsize{5}\;\times\;\normalsize{6}\right) \;+\; \normalsize{17}}{\normalsize{6}}

= 476\frac{\normalsize{47}}{\normalsize{6}}

Next, we will convert 476\frac{\normalsize{47}}{\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 47 by the denominator 6.

47 (numerator) ÷ 6 (denominator) = 7.833

This division gives us the decimal equivalent of the fraction.

So, when you change 476\frac{47}{6} to a decimal, your answer will be 7.833

The following animation demonstrates the Division method,

undefined 3 undefined 3 undefined 8 7 . 6 4 7 . 0 0 0 - 4 2 5 0 - 4 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 47 ÷ 6 = 7.833 ©AskMathGuru
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