Grid Fraction Analysis: Identifying the 4/7 Shaded Region

Question

What fraction does the part shaded in red represent?

Video Solution

Solution Steps

00:00 Find the marked part
00:04 Let's count the colored amount
00:07 Place this amount in the numerator
00:11 Now let's count the number of parts that divide the whole
00:16 Place this number in the denominator
00:19 And this is the solution to the question

Step-by-Step Solution

To work out what the marked part is, we need to count how many coloured squares there are compared to how many squares there are in total.

If we count the coloured squares, we see that there are four such squares.

If we count all the squares, we see that there are seven in all.

Therefore, 4/7 of the squares are shaded in red.

Answer

47 \frac{4}{7}