Visual Representation of 26/12: Fraction Identification Challenge

Choose the option that visually represents the following fraction:

2612 \frac{26}{12}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the correct visual representation for the given fraction
00:03 In black we see the number of parts into which the whole is divided
00:08 And in red is colored the given part, meaning the numerator
00:18 For each option we'll find the mathematical representation and choose the appropriate one
01:30 Let's break down 26 into 24 plus 2
01:35 Let's break down the fraction into a whole number and remainder
01:40 Convert from an improper fraction to a whole number
01:46 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Choose the option that visually represents the following fraction:

2612 \frac{26}{12}

2

Step-by-step solution

To visually represent 2612 \frac{26}{12} , we first convert it into a mixed number:

  1. Divide 26 by 12. The quotient is 2, and the remainder is 2. Thus, 26÷12=2 26 \div 12 = 2 with a remainder of 2.
  2. Express the remainder as a fraction: 212 \frac{2}{12} . This can be simplified to 16 \frac{1}{6} .
  3. Combine: The mixed number is 216 2 \frac{1}{6} .

Therefore, our task is to find the visual representation that depicts two whole circles (or any filled shape indicating the whole parts) and an additional 16 \frac{1}{6} of another.

Upon analyzing the choices, Option 1 is the correct visual representation. It shows:

  • Two fully filled circular shapes for the two whole components, and
  • An additional segment showing 16 \frac{1}{6} of a circular shape filled in.

Therefore, the correct visual representation of the fraction 2612 \frac{26}{12} as a mixed number is accurately shown by Option 1.

3

Final Answer

Practice Quiz

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Write the fraction as a mixed number:

\( \frac{6}{2}= \)

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