Scaling Ratios and Proportions

This video tutorial explains how to scale up ratios, which is the opposite of simplifying them. It covers simplifying ratios by finding common factors and scaling up by multiplying both sides. The video provides examples of exam questions and complex problems, including a three-item ratio example. The key takeaway is that all scaled or simplified ratios are equivalent.

What is the main focus of this video?

• How to divide ratios

• How to scale up ratios

• How to convert ratios to percentages

• How to simplify ratios

What is the biggest factor that 6 and 9 have in common?

• 5

• 4

• 3

• 2

What is the simplified form of the ratio 6 to 9?

• 1 to 2

• 4 to 5

• 2 to 3

• 3 to 4

What does scaling up a ratio involve?

• Dividing both sides of the ratio

• Multiplying both sides of the ratio

• Subtracting a constant from both sides

• Adding a constant to both sides

If you scale up the ratio 2 to 3 by 10, what is the new ratio?

• 30 to 45

• 10 to 15

• 20 to 30

• 5 to 7.5

What is an important thing to remember about equivalent ratios?

• They represent the same relationship

• They are always different

• They are only used in recipes

• They are not useful in exams

In an exam, if given one scaled-up value, what are you typically asked to find?

• The original ratio

• The other scaled-up value

• The simplified ratio

• The percentage increase

If there are 10 blue cubes in a 2 to 3 ratio, how many red cubes are there?

• 25

• 10

• 15

• 20

In a 4 to 7 ratio, if there are 56 red cubes, how many blue cubes are there?

• 32

• 36

• 40

• 28

What is the first step in finding the total number of cubes if there are 24 blue cubes in a 4 to 7 ratio?

• Multiply the blue cubes by 7

• Divide the blue cubes by 4

• Add the blue and red cubes

• Find the number of red cubes