Convert Improper Fraction 17/11 to Mixed Number Form

Improper Fractions with Long Division

Write the fraction as a mixed number:

1711= \frac{17}{11}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Write as a mixed fraction
00:04 Divide into whole number and remainder
00:07 Check how many times the denominator goes into the numerator
00:11 Subtract the whole number from the fraction to get the remainder
00:15 Convert to mixed fraction
00:19 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the fraction as a mixed number:

1711= \frac{17}{11}=

2

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} .

3

Final Answer

1611 1\frac{6}{11}

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: Divide numerator by denominator to find whole part
  • Technique: Calculate 17÷11=1 remainder 6 17 \div 11 = 1 \text{ remainder } 6
  • Check: Verify 1×11+6=17 1 \times 11 + 6 = 17 matches original numerator ✓

Common Mistakes

Avoid these frequent errors
  • Writing wrong remainder in fraction part
    Don't use quotient as remainder like 1111 1\frac{1}{11} = wrong mixed number! The remainder 6 becomes the new numerator, not the quotient. Always use remainder over original denominator: 1611 1\frac{6}{11} .

Practice Quiz

Test your knowledge with interactive questions

Write the fraction as a mixed number:

\( \frac{10}{7}= \)

FAQ

Everything you need to know about this question

How do I know when a fraction is improper?

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A fraction is improper when the numerator is larger than or equal to the denominator. Since 17 > 11, 1711 \frac{17}{11} is improper and can be converted to a mixed number.

What if the division doesn't have a remainder?

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If there's no remainder, you get a whole number! For example, 2211=2 \frac{22}{11} = 2 with no fractional part needed.

Why can't I just guess the mixed number?

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Guessing leads to wrong answers! You must actually divide to find the correct whole number and remainder. Mathematical precision matters for getting the right result.

What does the remainder represent?

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The remainder becomes the new numerator in your mixed number, while the original denominator stays the same. So remainder 6 over denominator 11 gives 611 \frac{6}{11} .

Can I reduce the fractional part of a mixed number?

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Yes! Always check if the fractional part can be simplified. For 611 \frac{6}{11} , since 6 and 11 share no common factors, it's already in lowest terms.

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