What is 4 24/3 as a decimal?

Answer: 4243\textbf{4}\frac{\textbf{24}}{\textbf{3}} as a decimal is 12

Converting the fraction to an improper fraction

To convert 4243\normalsize{4}\frac{\normalsize{24}}{\normalsize{3}} into a decimal, we start by converting it to an improper fraction. First, multiply 4 by 3 then add the result to 24 in the numerator,

= (4  ×  3)  +  243\frac{\left(\normalsize{4}\;\times\;\normalsize{3}\right) \;+\; \normalsize{24}}{\normalsize{3}}

= 363\frac{\normalsize{36}}{\normalsize{3}}

Next, we will convert 363\frac{\normalsize{36}}{\normalsize{3}} ​ 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 36 by the denominator 3.

36 (numerator) ÷ 3 (denominator) = 12

This division gives us the decimal equivalent of the fraction.

So, when you change 363\frac{36}{3} to a decimal, your answer will be 12

The following animation demonstrates the Division method,

1 undefined 2 3 3 6 - 3 0 6 - 6 0 Quotient Dividend Divisor Remainder 36 ÷ 3 = 12, R = 0 ©AskMathGuru
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