What is 2 53/6 as a decimal?

Answer: 2536\textbf{2}\frac{\textbf{53}}{\textbf{6}} as a decimal is 10.833

Converting the fraction to an improper fraction

To convert 2536\normalsize{2}\frac{\normalsize{53}}{\normalsize{6}} into a decimal, we start by converting it to an improper fraction. First, multiply 2 by 6 then add the result to 53 in the numerator,

= (2  ×  6)  +  536\frac{\left(\normalsize{2}\;\times\;\normalsize{6}\right) \;+\; \normalsize{53}}{\normalsize{6}}

= 656\frac{\normalsize{65}}{\normalsize{6}}

Next, we will convert 656\frac{\normalsize{65}}{\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 65 by the denominator 6.

65 (numerator) ÷ 6 (denominator) = 10.833

This division gives us the decimal equivalent of the fraction.

So, when you change 656\frac{65}{6} to a decimal, your answer will be 10.833

The following animation demonstrates the Division method,

undefined 3 undefined 3 undefined 8 undefined 0 . 1 6 6 5 . 0 0 0 - 6 0 5 - 0 5 0 - 4 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 65 ÷ 6 = 10.833 ©AskMathGuru
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