What is 6 72/9 as a decimal?

Answer: 6729\textbf{6}\frac{\textbf{72}}{\textbf{9}} as a decimal is 14

Converting the fraction to an improper fraction

To convert 6729\normalsize{6}\frac{\normalsize{72}}{\normalsize{9}} into a decimal, we start by converting it to an improper fraction. First, multiply 6 by 9 then add the result to 72 in the numerator,

= (6  ×  9)  +  729\frac{\left(\normalsize{6}\;\times\;\normalsize{9}\right) \;+\; \normalsize{72}}{\normalsize{9}}

= 1269\frac{\normalsize{126}}{\normalsize{9}}

Next, we will convert 1269\frac{\normalsize{126}}{\normalsize{9}} ​ 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 126 by the denominator 9.

126 (numerator) ÷ 9 (denominator) = 14

This division gives us the decimal equivalent of the fraction.

So, when you change 1269\frac{126}{9} to a decimal, your answer will be 14

The following animation demonstrates the Division method,

1 undefined 4 9 1 2 6 - 9 3 6 - 3 6 0 Quotient Dividend Divisor Remainder 126 ÷ 9 = 14, R = 0 ©AskMathGuru
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