Grid Fraction Problem: Identifying the 3/7 Shaded Region

What is the marked part?

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Step-by-step video solution

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00:00 Find the marked part
00:03 Let's count the colored amount
00:06 Let's put this amount in the numerator
00:10 Now let's count the number of parts that divide the whole
00:15 Let's put this number in the denominator
00:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

What is the marked part?

2

Step-by-step solution

To solve this problem, we will count the total number of equal sections in the grid and the number of these sections that the marked area covers.

  • Step 1: Determine Total Sections. The grid is divided into several vertical sections. By examining the grid lines, we see that the total number of vertical sections is 7.
  • Step 2: Determine Marked Sections. The marked (colored) part spans 3 of these vertical sections within the total grid.
  • Step 3: Compute Fraction. The fraction of the total area covered by the marked part is calculated as the number of marked sections divided by the total number of sections: 37 \frac{3}{7} .

Therefore, the fraction of the area that is marked is 37 \frac{3}{7} .

3

Final Answer

37 \frac{3}{7}

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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