What is 2 22/7 as a decimal?

Answer: 2227\textbf{2}\frac{\textbf{22}}{\textbf{7}} as a decimal is 5.143

Converting the fraction to an improper fraction

To convert 2227\normalsize{2}\frac{\normalsize{22}}{\normalsize{7}} into a decimal, we start by converting it to an improper fraction. First, multiply 2 by 7 then add the result to 22 in the numerator,

= (2  ×  7)  +  227\frac{\left(\normalsize{2}\;\times\;\normalsize{7}\right) \;+\; \normalsize{22}}{\normalsize{7}}

= 367\frac{\normalsize{36}}{\normalsize{7}}

Next, we will convert 367\frac{\normalsize{36}}{\normalsize{7}} ​ 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 7.

36 (numerator) ÷ 7 (denominator) = 5.143

This division gives us the decimal equivalent of the fraction.

So, when you change 367\frac{36}{7} to a decimal, your answer will be 5.143

The following animation demonstrates the Division method,

undefined 2 undefined 4 undefined 1 5 . 7 3 6 . 0 0 0 - 3 5 1 0 - 7 3 0 - 2 8 2 0 - 1 4 6 Quotient Dividend Divisor Remainder 36 ÷ 7 = 5.142 ©AskMathGuru
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