Simplifying ratios no units

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Presentation transcript:

Simplifying ratios no units

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

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

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

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

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