What is 7 70/6 as a decimal?

Answer: 7706\textbf{7}\frac{\textbf{70}}{\textbf{6}} as a decimal is 18.667

Converting the fraction to an improper fraction

To convert 7706\normalsize{7}\frac{\normalsize{70}}{\normalsize{6}} into a decimal, we start by converting it to an improper fraction. First, multiply 7 by 6 then add the result to 70 in the numerator,

= (7  ×  6)  +  706\frac{\left(\normalsize{7}\;\times\;\normalsize{6}\right) \;+\; \normalsize{70}}{\normalsize{6}}

= 1126\frac{\normalsize{112}}{\normalsize{6}}

Next, we will convert 1126\frac{\normalsize{112}}{\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 112 by the denominator 6.

112 (numerator) ÷ 6 (denominator) = 18.667

This division gives us the decimal equivalent of the fraction.

So, when you change 1126\frac{112}{6} to a decimal, your answer will be 18.667

The following animation demonstrates the Division method,

undefined 6 undefined 6 undefined 6 undefined 8 . 1 6 1 1 2 . 0 0 0 - 6 5 2 - 4 8 4 0 - 3 6 4 0 - 3 6 4 0 - 3 6 4 Quotient Dividend Divisor Remainder 112 ÷ 6 = 18.666 ©AskMathGuru
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