How To Find Ratio: Tutorial, Examples, And More

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In this class, we going to focus on providing information about how to find ratios.

The term ratio can be described as a mathematical expressions that compare two or more quantities and numbers.

Ratio can compare absolute amounts and quantities, and can also be used to compare portions of a larger whole. Ratios can be written and calculated in fractions and in percentages.

However, the basic principles governing the use of ratios are universally the same.

Uses Of Ratios
Ratios can be used in both real world and in school settings to compare the differences between two or more quantities.

The simplest form of ratio compare only two numbers or quantities.

However, ratios can also be used to compare more than 3 quantities and numbers.

For example:

In a basket containing different types of vegetables and fruits such as spinach, apricot, cabbage, carrot, avocado, apple, and oranges. All these can be expressed in form of a ratio.

Ratio is only used when two or more numbers and quantities ar…

How To Divide Fractions Into Whole Numbers

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Overview

Assuming you are given a half cake to share between you and your friend.

Quantity of cake = 1/2
Number of people = 2

In arithmetic, the quantity of cake is called a fraction, while the number of people to receive the share when the half cake is divided is called a whole number.

What are Whole Numbers?

Whole numbers are natural or basic counting numbers, which include positive integers from 0 onwards.

What Are Fractions?
Fraction is a part of a whole or ratio of two numbers, the numerator and denominator, with the numerator written above the denominator.

How To Divide Fractions Into Whole Numbers

When dividing a fraction into the whole number, find the whole number and multiply it with the bottom number of the fraction.

For example, in the above case, if we wont to find out how many shares each one of you will get, we simply multiply 2 and the number below 1, that is 2.

In practice,

1/2 2 =   1/2×  1/2= 1/4

Therefore, each one of you is going to get off the half cake.

Example 1

Divide 2/3 by 2.

Answer

2/3 ➗  2

Multiply 2 with the bottom number of the fraction

2/3 ➗ 2 = 2/3 × 2 = 2/6

Simplify the fraction if possible

From the above fraction, 2 can go into 2 one time and can go into 6 three times.

Therefore,

2/6 = 1/3

Example 2

Divide 41/2 by 9

Answer

4⅟2 by 9 = 4⅟2 ➗ 9

The fraction in this example is called a mixed fraction. So, we change the mixed fraction.

When changing a mixed fraction to improper fraction, multiply 4 by 2, and then add the final result to 1.

In practice,

4⅟2
4 × 2 = 8 + 1= 9

The new fraction will look this:

9/2

Now, divide 9/2 by 9

9/2 by 9 = 9/2 ➗ 9

Multiply 9 by the bottom number of the fraction

Therefore,

9∕2 ➗ 9 = 9∕2 × 9 = 9∕18

Simplify the fraction if possible

9 can go into 9 one time and can also go into 18 two times

Therefore,

9∕18 = 1∕2

Example 3

John' s Father gave him two and a half slices of pizza to share with his sister. Find the share of John in the 2⅟2 pizzas?

Answer

Quantity of Pizza = 2⅟2

Number of people = 2

Therefore,

2⅟ 2 by 2 = 2⅟2   2

Change mixed fraction to improper fraction

2⅟2 = 5⁄2

Therefore,
5⁄2 ➗  2

Multiply 2 by the bottom number of the fraction

Therefore,

5/2  ➗ 2 =  5/4

Simplify the fraction if possible

5∕4 = 11∕4

Therefore, both John and his sister will get 11/4 in the 21/2 slices of pizzas.

Related: Division of fraction by whole number

Community Questions And Answers

Q1. How do you divide fractions and mixed numbers?

When dividing fractions and mixed numbers, change the mixed numbers into improper fraction, and then multiply by the reciprocal of the divisor. Finally, simplify the fraction to the lowest fractions if possible.

Q2. How do you divide fractions with different denominators?

The first step in dividing fractions by denominator is to find the reciprocal of the divisor, and then multiply the numerators of both fractions. Then, finally, multiply the denominators of both fractions.

In practice,

3/4 󠀫󠁁 2/5

Answer

3/4  2/5

Find the reciprocal of  2/5

Therefore,

 2/5 = 5/2

Multiply both fractions

3/4 × 5/2 = 15/8

Simplify the fractions if possible

15/8 = 17/8

Q3. How do you divide a whole number by a fraction in front?
 To divide a whole number by a fraction in front, you simply need to take the reciprocal fraction of the divisor, then multiply the whole number with the top number of the fraction.

Example

4  2/3

From the above example, you need to take the reciprocal fraction of ÷ 2/3

Therefore,

 2/3 = 3/2

When you take the reciprocal of the fraction, the division sign also changes to multiplication sign.

So now, multiply the numerator by the whole number.
Therefore,

4 × 3/2 = 12/2

Then, simplify the fraction if possible

From the above fraction, 2 can go into itself one time, and can also go into 12 six times.

Therefore,

12/2 = 6


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