What is 9 93/7 as a decimal?

Answer: 9937\textbf{9}\frac{\textbf{93}}{\textbf{7}} as a decimal is 22.286

Converting the fraction to an improper fraction

To convert 9937\normalsize{9}\frac{\normalsize{93}}{\normalsize{7}} into a decimal, we start by converting it to an improper fraction. First, multiply 9 by 7 then add the result to 93 in the numerator,

= (9  ×  7)  +  937\frac{\left(\normalsize{9}\;\times\;\normalsize{7}\right) \;+\; \normalsize{93}}{\normalsize{7}}

= 1567\frac{\normalsize{156}}{\normalsize{7}}

Next, we will convert 1567\frac{\normalsize{156}}{\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 156 by the denominator 7.

156 (numerator) ÷ 7 (denominator) = 22.286

This division gives us the decimal equivalent of the fraction.

So, when you change 1567\frac{156}{7} to a decimal, your answer will be 22.286

The following animation demonstrates the Division method,

undefined 5 undefined 8 undefined 2 undefined 2 . 2 7 1 5 6 . 0 0 0 - 1 4 1 6 - 1 4 2 0 - 1 4 6 0 - 5 6 4 0 - 3 5 5 Quotient Dividend Divisor Remainder 156 ÷ 7 = 22.285 ©AskMathGuru
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