7.1 What is Ratio?

7.1. What is
Ratio?

Chapter 7: Ratio and Proportion

​Student learning Objectives

At the end of this handout, we expect student to:
1. Understand the concept of ratio.
2. Able to solve a simple problem using concept of ratio of numbers

​Student learning Objectives

In general, in this chapter we will discuss about, at least, 3 of these!

​The Definition

What is Ratio?

Important!!!

Introduction to Ratio

​Let's watch the video!

Open Ended

Please, re-explain with your own word what is the definition of ratio?

Ratio is just like a fraction!

Open Ended

Please, re-explain how to simplified a ratio?

Important!!!

​Example 1

Solution 1

Solution 1

Fill in the Blanks

Simplify the following ratios:

$20:8$

(note: answer using ":" as separator between numbers and don't put space between)

Fill in the Blanks

Simplify the following ratios:

$\frac{3}{5}:\frac{1}{10}$

(note: answer using ":" as separator between numbers and don't put space between)

Fill in the Blanks

Simplify the following ratios:

$100:500$

(note: answer using ":" as separator between numbers and don't put space between)

Fill in the Blanks

Simplify the following ratios:

$2\frac{1}{4}:3\frac{5}{8}$

(note: answer using ":" as separator between numbers and don't put space between)

Example and Solution 2

Fill in the Blanks

There are 10 boys in a class of 25 students. What is the ratio of girls to boys?

Drag and Drop

If the cost of 6 cans of juice is ₹ 210, then what is the cost of 4 cans of juice?_​

Placeholder

Drag these tiles and drop them in the correct blank above

₹140

₹ 120

₹ 100

₹ 80

Multiple Choice

If 8 cats, 12 dogs and 3 rabbits are in a store of pet animals, then the ratio 8 : 23 is for ..................

• dogs to cats

• cats to dogs

• rabbits to cats

• cats to all animals

Ratio: Parts and wholes

​Let's watch the video!

Open Ended

Please, re-explain with your own word what did you get from the video?

Fill in the Blanks

Two numbers are in the ratio $3:8$ . Their sum is 44. What is the smaller of the two numbers?

Math Response

An 8-inch-long submarine sandwich is cut into two pieces whose lengths are in the ratio of 7 to 5. How long is the shorter piece?

Type answer here

Correct Answer: \frac{10}{3}

Deg^°

Rad

Fill in the Blanks

A father left 280 acres of land to be divided among his sons Al and Bob in the ratio $4:3$ , respectively. How many acres should Al receive?

Fill in the Blanks

Two positive numbers are in the ratio of $4:9$ . Their difference is 30. What is the sum of the two numbers?

Math Response

A bookcase has 3 shelves with a total of 24 books. The top shelf has 8 mystery books. The middle shelf has 10 math books. The bottom shelf has 6 science books. Two books are now taken off each shelf. What fraction of the books remaining on the three shelves are math books?

Type answer here

Correct Answer: \frac{4}{9}

Deg^°

Rad

Fill in the Blanks

The four partners in a business decide to split the profits of their company in the ratio $2:3:3:5$ . If the profit one year is $\$26,000$ . what is the largest number of dollars received by any of the four partners?

Fill in the Blanks

The ratio of pennies to dimes in a jar is $2:5$ and there are a total of 245 pennies and dimes in the jar. How many pennies should be added to make the ratio of pennies to dimes be $3:7$ ?

(note: 1 penny = 1 cent, 1 dime = 10-cent, 1 quarter = 25-cent)

Open Ended

So, now. Do you understand what is the concept of ratio?

Open Ended

And, now. Can you simplify ratio of numbers?

Open Ended

So, do you find any difficulties when solving problems using the concept of ratio? If yes, describe it!