Ratio
Ratio for Class 5 Math
A ratio is a comparison between two numbers. Here students will learn ratio meaning and how to write a ratio.
In this learning concept, the students will also learn to
- Classify the properties of equal ratio.
- Evaluate how to find the ratio.
- Identify the ratio examples in real life.
Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.
Download the ratio worksheet for class 5 and check the solutions to the ratio questions for class 5 provided in PDF format.
Ratio Meaning:
In our surroundings, many times we compare two things of the same type.
Example :
Nishika and Mihir collected some fruits from the big basket.
- From the information given in the above table, we can find how many more apples Nishika has collected than Mihir.
Method 1: can use subtraction.
22 – 11 = 11
Nishika has collected 11 apples more than Mihir.
Method 2: We can use division.
So, Nishika has collected twice as many apples as Mihir.
Here we have actually found a ratio of the apples collected by Nishika to the apples collected by Mihir.
- So, Number of oranges collected by Nishika/Number of oranges collected by Mihir = 17/34=1/2
So, Nishika has collected half as many apples as Mihir.
What Is Ratio?
- Comparing two things by division is called a Ratio.
- Ratio is a comparison of two values or quantities of the same type in the terms of ‘how many times’.
- So, to find the ratio between two objects, both the objects should have the same unit.
How to Write a Ratio?
- Ratio of the two quantities is written by using the symbol':'.
- Ratio can be read as follows:
Example :
The ratio of pens to the books is written as 7:10
It is read as: ‘7 is to 10’
The fraction can be written in the form of division as 7:10 = 7/10
Here, pens are mentioned first. So,
The ratio of books to the pens is written as 10:7
It is read as: ‘10 is to 7’
The fraction can be written in the form of division as 10:7 = 10/7
Here, pens are mentioned first. So,
‘Part to part ratio’ and ‘part to whole ratio’
Example :
Number of black and white cows = 5
Number of brown cows = 2
Total cows = 7
How to Find a Ratio From Part to Part?
The ratio of black and white cows to brown cows =
The ratio of brown cows to black and white cows =
How to Find a Ratio From Part to Whole?
The ratio of black and white cows to all cows =
The ratio of brown cows to all cows =
Note: To write the ratio keep the following points in mind.
- Write the terms in the given manner. There should be significant order of terms.
- Both of the objects or quantities should have the same units.
- Write the correct numbers.
Properties of Equal Ratios:
- Equivalent fractions of the given ratio have an equal ratio.
- When we multiply or divide the first term and second term /numerator and denominator of the ratio by the same number, we get equal ratios.
- To find an equal ratio, we can simplify the fraction of the given ratio.
Example :
- Above two ratios represent the same colour parts.
- If we multiply the numerator and denominator of the first ratio by 4, we get
1 × 4/4 × 4=4/16→ fraction of the second ratio - If we find the simple form of the second ratio, we get the first ratio.
- So, 1/4 =4/16
- 1 : 4 = 4 : 16 → Equal ratios
Ratio Examples in Real Life:
- Cooking - To decide the quantities of the ingredients.
- Architecture – To decide the strong structure of the buildings.
- Health – To decide the quantity of the medicine according to the age of the patient.
- In Share market, Electronics and many more industries.
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