What is 3696/27 as a mixed number?

Answer: 369627\frac{\textbf{3696}}{\textbf{27}} as a mixed number is 13689136\frac{\textbf{8}}{\textbf{9}}

To convert the improper fraction  369627 \space\frac{\textbf{3696}}{\textbf{27}}\space to a mixed number, follow these steps,

  • Divide the numerator by the denominator: to find the whole number part

3696 ÷ 27=136  R  243696\space÷\space27 = 136\space\space R \space\space24

  • Find the remainder of the division. The remainder is 24
  • Form the fraction: Place the remainder over the original denominator to get the fractional part: 2427\frac{24}{27}
  • Simplify the fraction: The fraction​ 2427\frac{24}{27} can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

2427=24÷327÷3=89\frac{24}{27} = \frac{24 ÷ 3}{27 ÷ 3} = \frac{8}{9}

  • Result: The improper fraction 369627\frac{3696}{27}​ as a mixed number is 13689136\frac{8}{9}
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