What is 3 38/9 as a decimal?

Answer: 3389\textbf{3}\frac{\textbf{38}}{\textbf{9}} as a decimal is 7.222

Converting the fraction to an improper fraction

To convert 3389\normalsize{3}\frac{\normalsize{38}}{\normalsize{9}} into a decimal, we start by converting it to an improper fraction. First, multiply 3 by 9 then add the result to 38 in the numerator,

= (3  ×  9)  +  389\frac{\left(\normalsize{3}\;\times\;\normalsize{9}\right) \;+\; \normalsize{38}}{\normalsize{9}}

= 659\frac{\normalsize{65}}{\normalsize{9}}

Next, we will convert 659\frac{\normalsize{65}}{\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 65 by the denominator 9.

65 (numerator) ÷ 9 (denominator) = 7.222

This division gives us the decimal equivalent of the fraction.

So, when you change 659\frac{65}{9} to a decimal, your answer will be 7.222

The following animation demonstrates the Division method,

undefined 2 undefined 2 undefined 2 7 . 9 6 5 . 0 0 0 - 6 3 2 0 - 1 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 65 ÷ 9 = 7.222 ©AskMathGuru
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