Understanding Fractions and Simplification

The video tutorial explains how to determine the fraction of a grid that is shaded in pink. It starts by identifying the total number of sections in the grid and counting the shaded ones. The fraction 6/15 is derived and then simplified to 2/5 by finding the greatest common factor. The tutorial uses visual aids to demonstrate equivalent fractions and concludes by showing that 2/5 is the simplest form of the fraction representing the shaded area.

How many total sections are there in the grid described in the video?

• 9

• 12

• 15

• 18

What fraction of the grid is initially shaded in pink?

• 5/15

• 4/15

• 6/15

• 3/15

What is the first step in simplifying the fraction 6/15?

• Subtract 3 from both numerator and denominator

• Add 3 to both numerator and denominator

• Divide both numerator and denominator by 3

• Multiply both numerator and denominator by 2

What is the purpose of redrawing the grid in the video?

• To change the number of shaded sections

• To make the grid larger

• To add more sections

• To visualize the equivalent fractions

What is the greatest common factor of 6 and 15?

• 5

• 1

• 3

• 2

What is the simplified form of the fraction 6/15?

• 2/5

• 1/3

• 4/5

• 3/5

Why is it important to find the greatest common factor when simplifying fractions?

• To make the fraction more complex

• To ensure the fraction is in its simplest form

• To increase the fraction's value

• To change the fraction's numerator

How many sections of 3 are there in the simplified grid?

• 1

• 4

• 5

• 2

What does the simplified fraction 2/5 represent in the context of the grid?

• 2 out of 3 sections are shaded

• 2 out of 5 sections are shaded

• 3 out of 5 sections are shaded

• 5 out of 15 sections are shaded

What does the video demonstrate about equivalent fractions?

• They have different values

• They represent different areas

• They are always larger than the original fraction

• They cover the same area