1. Simplifying ratios no units

2. Steps for simplifying ratio
First write the given ratio in the fractional form
Simplify the fraction by dividing the numerator and denominator by common number till they cannot divisible by any number.
Write the simplified fraction in Ratio
TIP :
Try dividing the fraction by the numbers given below to simplify it
2 , 3 , 5 , 7 , 10

3. Rule :Divide fraction using the numbers
Example 1: Simplify 24 : 36
Solution
Step1 : Write 24:36 into fractional form
Step 2: Simplify the fraction
Rule :Divide fraction using the numbers
2, 3, 5, 7, 10
24 and 36 are divisible by common number 2
12 and 18 are divisible by common number 2
6 and 9 are divisible by common number 3
2 and 3 are further not divisible by any common number. Hence fraction is said to be in simplified form
Step 3: Write the simplified fraction in Ratio

4. Rule :Divide fraction using the numbers
Example 2: Simplify 45 : 60
Solution
Step1 : Write 45:60 into fractional form
Step 2: Simplify the fraction
Rule :Divide fraction using the numbers
2, 3, 5, 7, 10
45 and 60 are divisible by common number 3
15 and 20 are divisible by common number 5
3 and 4 are further not divisible by any common number. Hence fraction is said to be in simplified form
Step 3: Write the simplified fraction in Ratio

5. Rule :Divide fraction using the numbers
Example 2: Simplify 30 : 70
Solution
Step1 : Write 30:70 into fractional form
Step 2: Simplify the fraction
Rule :Divide fraction using the numbers
2, 3, 5, 7, 10
30 and 70 are divisible by common number 10
3 and 7 are further not divisible by any common number. Hence fraction is said to be in simplified form
Step 3: Write the simplified fraction in Ratio
Note : If numbers end with 0 they are divisible by 10

6. Try these Find the simplest form of the given ratio below. 12:16 9:21
15 : 25