What is 349/4 as a mixed number?

Answer: 3494\frac{\textbf{349}}{\textbf{4}} as a mixed number is 871487\frac{\textbf{1}}{\textbf{4}}

To convert the improper fraction  3494 \space\frac{\textbf{349}}{\textbf{4}}\space to a mixed number, follow these steps,

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

349 ÷ 4=87  R  1349\space÷\space4 = 87\space\space R \space\space1

  • Find the remainder of the division. The remainder is 1
  • Form the fraction: Place the remainder over the original denominator to get the fractional part: 14\frac{1}{4}
  • Simplify the fraction: The fraction​ 14\frac{1}{4} can not be simplified further as their greatest common divisor GCD(1, 4) is 1
  • Result: The improper fraction 3494\frac{349}{4}​ as a mixed number is 871487\frac{1}{4}
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