**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.

*Number of apples collected by Nishika*/

*Number of apples collected by Mihir*

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 =

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 = **

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 =

*Number of black and white cows*/

*Number of brown cows*

**5:2**

The ratio of brown cows to black and white cows =

*Number of brown cows*/

*Number of black and white cows*

**2:5**

**How to Find a Ratio From Part to Whole?**

The ratio of black and white cows to all cows =

*Number of black and white cows*/

*Total number of cows*

**5:7**

The ratio of brown cows to all cows =

*Number of brown cows*/

*Total number of cows*

**2:7**

**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 get1 × 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.

** Did you know?**