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…

Dividing Whole Numbers By Fractions Word Problems

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Examples Of Word Problems Involving Division Of Whole Numbers By Fractions


Example 1


A Primary school teacher wants to dash to each student 1/2 of a slice of pizza. If the teacher has 8 slices of pizza, how many students will the teacher be able to hand out the piazza to?

Answer


Total number of slices of pizza = 8
Share of each student in 8 pizzas = 1/2
Total number of students =?

From the above statement:

The total number of slices of pizza is called a whole number, while the share of each student in the 8 pizzas is called a fraction.

Now, divide 8 by 1/2

8 ➗ 1/2

Take the reciprocal of the divisor ÷ 1/2

The reciprocal of ➗ 1/2 = × 2/1

When you take the reciprocal of a divisor, the division also changes to multiplication.

Now, multiply 8 by 2/1

Therefore:

8 × 2/1 = 16

Therefore, the teacher can share half a slice of pizza to 16 students.

Example 2


John went to farm to plant soybeans. To plant a row of soybeans, John needs 1/5 square feet. In the farm, there are only 20 square feet. How many rows of soybeans can John be able to plant on the farm?

Answer 


Total number of square feet = 20
No. of feet required per row = 1/5

To find the total number of rows John can plant, you need to follow the same steps like the one we did above:

Divide 20 by 1/5

20 ➗   1/5

Take the reciprocal of ÷ 1/5

Therefore,

20 ➗  1/5 = 20 × 5/1
               = 100

Therefore, John can 100 rows of soybeans on the farm.

Example 3


If Amina takes 2/3 of a mile every hour, then how many hours will it take Amina to cover 4 miles?

Answer

Here you simply needs to divide  4 by 2/3 

Therefore,

4 by 2/3 = 4 ➗ 2/3

 Take the reciprocal of the divisor ➗ 2/3

 Therefore, ➗ 2/3 = × 3/2

Now multiply 4 with the reciprocal

Therefore, 4 × 3/2 = 12/2 = 6

Therefore, Amina can cover 4 miles in 6 hours.

Related: Division of whole numbers with fractions

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