What is 5 28/7 as a decimal?

Answer: 5287\textbf{5}\frac{\textbf{28}}{\textbf{7}} as a decimal is 9

Converting the fraction to an improper fraction

To convert 5287\normalsize{5}\frac{\normalsize{28}}{\normalsize{7}} into a decimal, we start by converting it to an improper fraction. First, multiply 5 by 7 then add the result to 28 in the numerator,

= (5  ×  7)  +  287\frac{\left(\normalsize{5}\;\times\;\normalsize{7}\right) \;+\; \normalsize{28}}{\normalsize{7}}

= 637\frac{\normalsize{63}}{\normalsize{7}}

Next, we will convert 637\frac{\normalsize{63}}{\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 63 by the denominator 7.

63 (numerator) ÷ 7 (denominator) = 9

This division gives us the decimal equivalent of the fraction.

So, when you change 637\frac{63}{7} to a decimal, your answer will be 9

The following animation demonstrates the Division method,

9 7 6 3 - 6 3 0 Quotient Dividend Divisor Remainder 63 ÷ 7 = 9, R = 0 ©AskMathGuru
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