Simplifying ratios word problems

Steps for different units Steps for same units Step1: If the given quantity is in the same units then write the quantity in ratio form Step2: Write the given ratio in the fractional form Step3: Simplify the fraction Step4: Finally write the simplified answer in Ratio Steps for different units Step1: If the given quantity is in the different units Step2: Convert the quantities to the same units and then write the quantity in ratio form. Step3: Write the given ratio in the fractional form Step 4: Simplify the fraction Step5: Finally write the simplified answer 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: Sukanya had 24 chocolates and Vijay had 36 chocolates. Find the simplest ratio of chocolates between Sukanya to Vijay? Solution The given units are in same units(Count of cholocate-Numbers) Step1: Write the quantity in ratio form Ratio of chocolates of Sukanya to Vijay is 24 : 36 Step2 : Write 24:36 into fractional form Step3: 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 4: Write the simplified fraction in Ratio

Rule :Divide fraction using the numbers Example 2: Costs of car toy is Rs.45 and the costs of bus toy is Rs.60. Find the simplest ratio of costs of car toy to the costs of bus toy. Solution The given units are in same units(Rs) Step1: Write the quantity in ratio form Ratio of cost of car toy to bus toy is 45 : 60 Step2 : Write 45:60 into fractional form Step3: Simplify the fraction Rule :Divide fraction using the numbers 2, 3, 5, 7, 10 45 and 60 are divisible by common number 5 9 and 12 are divisible by common number 3 3 and 4 are further not divisible by any common number. Hence fraction is said to be in simplified form Step 4: Write the simplified fraction in Ratio

Example 3: Lokesh bought 2 kg of tomatoes and 500g of Onion for his shop. Find the simplest ratio of onions to tomatoes. Solution The given units are in different units Step 1: Convert the quantities to the same units We know that 1 kg = 1000 g , 2kg = 2 x 1000 = 2000g Thus, weight of onion to tomato = 500 g to 2kg = 500g to 2000g and write the quantity in ratio form Ratio of 500g to 2000g is 500 : 2000 Step2: Write 500 : 2000 into fractional form

Rule :Divide fraction using the numbers Cont... Step3: Simplify the fraction Rule :Divide fraction using the numbers 2, 3, 5, 7, 10 5 and 2000 are divisible by common number 10 50 and 200 are divisible by common number 10 5 and 20 are divisible by common number 5 1 and 4 are further not divisible by any common number. Hence fraction is said to be in simplified form Step 4: Write the simplified fraction in Ratio

TRY THESE 1. Priya rides bicycle for 10km and Scooter for 15km. Find the simplest ratio of bicycle to that of scooter? 2. Sriram and Tharun bought two chairs for Rs.250 and Rs.400 respectively. What is the simplest ratio of chairs bought by Sriram to Tharun?