Convert Improper Fraction 17/11 to Mixed Number Form

Question

Write the fraction as a mixed number:

1711= \frac{17}{11}=

Video Solution

Step-by-Step Solution

To convert the improper fraction 1711 \frac{17}{11} to a mixed number, we proceed as follows:

  • Step 1: Perform the division 17÷11 17 \div 11 . We find: - The quotient (whole number) is 1 since 11 goes into 17 once.
    - The remainder is 6 because 17(11×1)=6 17 - (11 \times 1) = 6 .

  • Step 2: Express the remainder as a fraction over the original denominator. Hence, the fractional part is 611 \frac{6}{11} .

  • Step 3: Combine the quotient and the remainder fraction to form the mixed number: 1611 1\frac{6}{11} .

Therefore, the mixed number equivalent of the fraction 1711 \frac{17}{11} is 1611 1\frac{6}{11} .

Answer

1611 1\frac{6}{11}