What is 4 46/6 as a decimal?

Converting the fraction to an improper fraction

To convert $\normalsize{4}\frac{\normalsize{46}}{\normalsize{6}}$ into a decimal, we start by converting it to an improper fraction. First, multiply 4 by 6 then add the result to 46 in the numerator,

= $\frac{\left(\normalsize{4}\;\times\;\normalsize{6}\right) \;+\; \normalsize{46}}{\normalsize{6}}$

= $\frac{\normalsize{70}}{\normalsize{6}}$

Next, we will convert $\frac{\normalsize{70}}{\normalsize{6}}$ ​ 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 70 by the denominator 6.

70 (numerator) ÷ 6 (denominator) = 11.667

This division gives us the decimal equivalent of the fraction.

So, when you change $\frac{70}{6}$ to a decimal, your answer will be 11.667

The following animation demonstrates the Division method,