What is 2 70/3 as a decimal?

Answer: 2703\textbf{2}\frac{\textbf{70}}{\textbf{3}} as a decimal is 25.333

Converting the fraction to an improper fraction

To convert 2703\normalsize{2}\frac{\normalsize{70}}{\normalsize{3}} into a decimal, we start by converting it to an improper fraction. First, multiply 2 by 3 then add the result to 70 in the numerator,

= (2  ×  3)  +  703\frac{\left(\normalsize{2}\;\times\;\normalsize{3}\right) \;+\; \normalsize{70}}{\normalsize{3}}

= 763\frac{\normalsize{76}}{\normalsize{3}}

Next, we will convert 763\frac{\normalsize{76}}{\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 76 by the denominator 3.

76 (numerator) ÷ 3 (denominator) = 25.333

This division gives us the decimal equivalent of the fraction.

So, when you change 763\frac{76}{3} 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 3 7 6 . 0 0 0 - 6 1 6 - 1 5 1 0 - 9 1 0 - 9 1 0 - 9 1 Quotient Dividend Divisor Remainder 76 ÷ 3 = 25.333 ©AskMathGuru
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