Fraction Comparison: Identifying Parts Greater Than 1/9

Choose the way in which the painted part is greater than 19 \frac{1}{9}

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Step-by-step video solution

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00:00 Choose the shapes where the marked part is larger than the given fraction
00:03 In each shape, we'll count the colored amount and divide by the number of parts
00:08 We'll compare to the given fraction and choose the shapes that are larger than the fraction
00:11 And this is the solution to the question

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Understand the problem

Choose the way in which the painted part is greater than 19 \frac{1}{9}

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Step-by-step solution

Let's solve the problem by following these steps:

  • Step 1: Identify the total and painted sections in each illustration.
  • Step 2: Calculate the fraction of painted sections.
  • Step 3: Compare each fraction to 19\frac{1}{9}.

Now, let's analyze each choice:

Choice 1: The illustration shows one painted section out of 9 total sections, so the fraction is 19\frac{1}{9}.

Choice 2: The illustration shows three painted sections out of 9 total sections, so the fraction is 39=13\frac{3}{9} = \frac{1}{3}.

Choice 3: The illustration shows one painted section out of 9 total sections, which equals 19\frac{1}{9}.

Choice 2's 13\frac{1}{3} is greater than 19\frac{1}{9} since 13=39\frac{1}{3} = \frac{3}{9}.

Thus, the configuration in Choice 2 represents a painted part that is greater than 19\frac{1}{9}.

Therefore, the option with a painted part greater than 19\frac{1}{9} is Choice 2.

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Final Answer

Practice Quiz

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Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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