Grid-Based Fraction Identification: Converting 3/7 from Visual to Numeric Form

Question

Write the fraction shown in the drawing:

Video Solution

Solution Steps

00:00 Convert from visual representation to mathematical representation of the fraction
00:03 Count the division cells of the whole (denominator)
00:09 Count the number of colored parts (numerator)
00:13 And this is the solution to the question

Step-by-Step Solution

To find the fraction represented by the shaded areas, follow these steps:

  • Step 1: Count the total number of rectangles. There are 7 rectangles in the drawing.
  • Step 2: Count the number of shaded rectangles. There are 3 shaded rectangles.
  • Step 3: Form the fraction, using the number of shaded rectangles as the numerator and the total number of rectangles as the denominator.

Therefore, the fraction of the drawing that is shaded is 37 \frac{3}{7} .

This value corresponds to option 4 in the provided choices, confirming 37 \frac{3}{7} is the correct answer.

Answer

37 \frac{3}{7}