What is 6 26/3 as a decimal?

Answer: 6263\textbf{6}\frac{\textbf{26}}{\textbf{3}} as a decimal is 14.667

Converting the fraction to an improper fraction

To convert 6263\normalsize{6}\frac{\normalsize{26}}{\normalsize{3}} into a decimal, we start by converting it to an improper fraction. First, multiply 6 by 3 then add the result to 26 in the numerator,

= (6  ×  3)  +  263\frac{\left(\normalsize{6}\;\times\;\normalsize{3}\right) \;+\; \normalsize{26}}{\normalsize{3}}

= 443\frac{\normalsize{44}}{\normalsize{3}}

Next, we will convert 443\frac{\normalsize{44}}{\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 44 by the denominator 3.

44 (numerator) ÷ 3 (denominator) = 14.667

This division gives us the decimal equivalent of the fraction.

So, when you change 443\frac{44}{3} to a decimal, your answer will be 14.667

The following animation demonstrates the Division method,

undefined 6 undefined 6 undefined 6 undefined 4 . 1 3 4 4 . 0 0 0 - 3 1 4 - 1 2 2 0 - 1 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 44 ÷ 3 = 14.666 ©AskMathGuru
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