Find the Fraction: Identifying the Shaded Region in a 3x4 Grid

Question

What is the marked part?

Video Solution

Solution Steps

00:00 Find the marked part
00:03 Let's count the colored amount
00:07 Place this amount in the numerator
00:10 Now let's count the total number of parts that make up the whole
00:14 Place this number in the denominator
00:19 We want to reduce the fraction as much as possible
00:23 Let's break down 6 into factors 3 and 2
00:29 Let's reduce what we can
00:33 And this is the solution to the question

Step-by-Step Solution

We can see that there are three shaded parts out of six parts in total,

that is - 3/6

But this is not the final answer yet!

Let'snotice that this fraction can be reduced,

meaning, it is possible to divide both the numerator and the denominator by the same number,

so that the fraction does not lose its value. In this case, the number is 3.

3:3=1
6:3=2

And so we get 1/2, or one half.
And if we look at the original drawing, we can see that half of it is colored.

Answer

12 \frac{1}{2}