What is 9 62/6 as a decimal?

Answer: 9626\textbf{9}\frac{\textbf{62}}{\textbf{6}} as a decimal is 19.333

Converting the fraction to an improper fraction

To convert 9626\normalsize{9}\frac{\normalsize{62}}{\normalsize{6}} into a decimal, we start by converting it to an improper fraction. First, multiply 9 by 6 then add the result to 62 in the numerator,

= (9  ×  6)  +  626\frac{\left(\normalsize{9}\;\times\;\normalsize{6}\right) \;+\; \normalsize{62}}{\normalsize{6}}

= 1166\frac{\normalsize{116}}{\normalsize{6}}

Next, we will convert 1166\frac{\normalsize{116}}{\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 116 by the denominator 6.

116 (numerator) ÷ 6 (denominator) = 19.333

This division gives us the decimal equivalent of the fraction.

So, when you change 1166\frac{116}{6} to a decimal, your answer will be 19.333

The following animation demonstrates the Division method,

undefined 3 undefined 3 undefined 3 undefined 9 . 1 6 1 1 6 . 0 0 0 - 6 5 6 - 5 4 2 0 - 1 8 2 0 - 1 8 2 0 - 1 8 2 Quotient Dividend Divisor Remainder 116 ÷ 6 = 19.333 ©AskMathGuru
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