What is 7 28/9 as a decimal?

Answer: 7289\textbf{7}\frac{\textbf{28}}{\textbf{9}} as a decimal is 10.111

Converting the fraction to an improper fraction

To convert 7289\normalsize{7}\frac{\normalsize{28}}{\normalsize{9}} into a decimal, we start by converting it to an improper fraction. First, multiply 7 by 9 then add the result to 28 in the numerator,

= (7  ×  9)  +  289\frac{\left(\normalsize{7}\;\times\;\normalsize{9}\right) \;+\; \normalsize{28}}{\normalsize{9}}

= 919\frac{\normalsize{91}}{\normalsize{9}}

Next, we will convert 919\frac{\normalsize{91}}{\normalsize{9}} ​ 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 91 by the denominator 9.

91 (numerator) ÷ 9 (denominator) = 10.111

This division gives us the decimal equivalent of the fraction.

So, when you change 919\frac{91}{9} to a decimal, your answer will be 10.111

The following animation demonstrates the Division method,

undefined 1 undefined 1 undefined 1 undefined 0 . 1 9 9 1 . 0 0 0 - 9 0 1 - 0 1 0 - 9 1 0 - 9 1 0 - 9 1 Quotient Dividend Divisor Remainder 91 ÷ 9 = 10.111 ©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!

Review Sub Calculations

Dive into More Questions!