What is 9 98/6 as a decimal?

Answer: 9986\textbf{9}\frac{\textbf{98}}{\textbf{6}} as a decimal is 25.333

Converting the fraction to an improper fraction

To convert 9986\normalsize{9}\frac{\normalsize{98}}{\normalsize{6}} into a decimal, we start by converting it to an improper fraction. First, multiply 9 by 6 then add the result to 98 in the numerator,

= (9  ×  6)  +  986\frac{\left(\normalsize{9}\;\times\;\normalsize{6}\right) \;+\; \normalsize{98}}{\normalsize{6}}

= 1526\frac{\normalsize{152}}{\normalsize{6}}

Next, we will convert 1526\frac{\normalsize{152}}{\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 152 by the denominator 6.

152 (numerator) ÷ 6 (denominator) = 25.333

This division gives us the decimal equivalent of the fraction.

So, when you change 1526\frac{152}{6} to a decimal, your answer will be 25.333

The following animation demonstrates the Division method,

undefined 3 undefined 3 undefined 3 undefined 5 . 2 6 1 5 2 . 0 0 0 - 1 2 3 2 - 3 0 2 0 - 1 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 152 ÷ 6 = 25.333 ©AskMathGuru
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