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What are Ratios? Definition and Examples


The target of this lesson is to outline what a ratio is and present you easy methods to write ratios utilizing some conditions or examples you encounter each day. We will even offer you a definition of continued ratio. Lastly, we’ll present you some frequent pitfalls to keep away from when working with ratios. Don’t forget to take the quiz!


Issues usually are not at all times the identical dimension. Thus, a pure want come up to examine portions utilizing division to see how a lot greater a amount is when in comparison with one other.

For instance, wanting on the two piles above fabricated from purple apples and inexperienced apples, you is probably not happy simply to know that there are extra purple apples.

A comparability of purple apples to inexperienced apples utilizing division is a ratio and this comparability might assist you to see how rather more purple apples there are.

There are 9 purple apples and three inexperienced apples. We will do a ratio of purple apples to inexperienced apples as proven beneath:

The quotient or reply to the ratio above is the same as 3 and we are able to fairly interpret the reply.

It signifies that there are 3 occasions extra purple apples than inexperienced apples.

Different real-life examples of ratios

Say as an illustration, you might be in a classroom. Within the classroom, there are 3 boys and 6 ladies.

The ratio of boys to women is 

3
/
6

is the same as  

1
/
2

or 0.5

is the same as  

1
/
2

or 0.5

It signifies that there are half as many boys as ladies within the classroom.

Nonetheless, the ratio of ladies to boys is

6
/
3

6
/
3

 is the same as 2 and it signifies that there are two occasions as many ladies as boys within the classroom.

You may also do the next ratios:

Ratio of ladies to variety of college students within the classroom:

6
/
9

Ratio of boys to variety of college students within the classroom:

3
/
9

Ratio of variety of college students within the classroom to women:

9
/
6

Ratio of variety of college students within the classroom to boys:

9
/
3

At this level you will have seen that the order is vital when defining a ratio. The quantity that comes after ‘ of ‘ is your numerator and the quantity that comes after ‘ to ‘ is your denominator.

Some formal definitions of ratios

A ratio is a comparability of two numbers utilizing division.

The ratio of a to b is  

a
/
b

    with b ≠ 0

A ratio is an ordered pair of numbers, written a:b, with b ≠ 0

As you may see there are a couple of strategy to specific a ratio. For instance, you probably have 6 pencils and a pair of pens all of the followings are good methods to specific the ratio of pens to pencils.

2:6

The phrase “per” additionally means a ratio

For instance, fuel mileage resembling 50 miles per 4 gallons means  

50
/
4

Wage resembling 25 {dollars} per hour means 

25
/
1

What’s a continued ratio? Definition and examples

The ratio of three or extra portions known as continued ratio. For instance, the ratio of 4 to eight to 12 is the continued ratio 4:8:12.

We get the continued ratio above by combining the next 3 ratios:

4:8, 8:12, and 4:12

An vital factor to remember when working with ratios

When doing ratios, guarantee that portions are in the identical items first.

Ratio of 24 inches to six ft

Since 1 foot = 12 inches, 6 ft = 6 × 12 inches = 72 inches.

Now, you are able to do the ratio of 24 inches to 72 inches.

It might be helpful to simplify a ratio typically such because the one instantly above.

Simply divide each numerator and the denominator by the best frequent issue.

Here’s a little attention-grabbing phrase downside about ratios.

A classroom has 50 college students and the ratio of males to females is 2 to three. What number of college students are females? What number of college students are males

2 to three is identical factor as 20 to 30

20 + 30 = 50

Due to this fact, there are 30 females and 20 males on this class.

Are ratios the identical as fractions?

The quick reply is not any, not precisely. Though, there a small similarity, there may be nonetheless a giant distinction between ratios and fractions. You may learn this lesson to totally perceive the distinction a ratio and a fraction.

Ratios quiz. Take the quiz beneath to see the way you perceive the ideas on this lesson.

Take the quiz beneath to see how effectively you perceive the lesson on this web page.


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