What is 6588/39 as a mixed number?

Answer: 658839\frac{\textbf{6588}}{\textbf{39}} as a mixed number is 1681213168\frac{\textbf{12}}{\textbf{13}}

To convert the improper fraction  658839 \space\frac{\textbf{6588}}{\textbf{39}}\space to a mixed number, follow these steps,

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

6588 ÷ 39=168  R  366588\space÷\space39 = 168\space\space R \space\space36

  • Find the remainder of the division. The remainder is 36
  • Form the fraction: Place the remainder over the original denominator to get the fractional part: 3639\frac{36}{39}
  • Simplify the fraction: The fraction​ 3639\frac{36}{39} can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

3639=36÷339÷3=1213\frac{36}{39} = \frac{36 ÷ 3}{39 ÷ 3} = \frac{12}{13}

  • Result: The improper fraction 658839\frac{6588}{39}​ as a mixed number is 1681213168\frac{12}{13}
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