Word Problems on Multiplication and Division of Fractions

Here we will solve different types of word problems on multiplication and division of fractions.

I. Solve the following word problems on multiplication of fractions.

(i) A water bottle contains 2\(\frac{1}{2}\) liters of water. How much water 30 such bottles will contain?

(ii) One school uniform requires 2\(\frac{1}{4}\) m of cloths. How much cloth 28 such shirts required?

(iii) Cost of an ink pot is ₹ 8\(\frac{1}{4}\). Find the cost of 12 such ink pots.

(iv) A pool car covers 18\(\frac{1}{2}\) km in one litre of diesel. How many kilometres will it cover in 8\(\frac{1}{4}\) litres of diesel? 

(v) Michael needs 15\(\frac{1}{2}\) dozens of oranges. If the cost of 1 dozen orange is ₹ 5\(\frac{1}{2}\). How much money Michael need to buy 15\(\frac{1}{2}\) dozens of oranges?

Answer:

I. (i) 75 liters of water.

(ii) 63 m of cloths.

(iii) ₹ 99

(iv) 152\(\frac{5}{8}\) km

(v) ₹ 85.25

II. Solve the following word problems on division of fractions.

(i) 15\(\frac{3}{5}\) kg of sugar are to be equally distributed among 16 poor people. How much each people will get?

(ii) How many pieces of a ribbon \(\frac{3}{7}\) m long can be cut from a roll of 2\(\frac{4}{7}\) m long?

(iii) How many pieces of a cake of \(\frac{3}{8}\) g can be cut from from 3\(\frac{3}{4}\) g of cake?

(iv) How many packets contain 2\(\frac{1}{4}\) kg of sugar can be made from 58\(\frac{1}{2}\) kg of sugar?

(v) Nairitee needs some pieces of ribbons of \(\frac{4}{9}\) m long. How many such pieces can be cut from a ribbon of ribbon of 14\(\frac{2}{9}\) m long?

Answer:

II. (i) 0975 kg

(ii) 6 pieces

(iii) 10 pieces

(iv) 26 packets

(v) 32 pieces

III. Solve the following mixed word problems on multiplication and division of fractions.

(i) The cost of 5\(\frac{1}{4}\) ℓ of petrol is ₹ 218\(\frac{1}{4}\). What is the cost of of 8\(\frac{1}{3}\) ℓ of petrol? 

(ii) The product of two fractions is 9\(\frac{2}{7}\). One of them is 5\(\frac{3}{8}\). Find the other one.

(iii) 5\(\frac{1}{4}\) kg of flour is needed for making 12 cakes. How much flour is needed for making one cake?

(iv) 4 balls weigh 5\(\frac{3}{4}\) kg. How much will 8 such balls weigh?

(v) The cost of 2\(\frac{1}{2}\) ℓ of milk is ₹ 27\(\frac{1}{2}\) What is the cost of 6\(\frac{1}{2}\) ℓ of milk?

(vi) 2\(\frac{1}{5}\) m of cloth is required for making a shirt. How much cloth is required for making 14 such shirts?

(vii) A piece of ribbon is 7\(\frac{1}{4}\) cm long. Find the total length of 38 such pieces.

(viii) James bought 12 registers. Each register costs ₹ 21\(\frac{3}{7}\). He gave the shopkeeper a note of five-hundred rupee. How much he get back from the shopkeeper?

(ix) David had ₹ 305\(\frac{2}{5}\) in her purse. He gave ₹ 103\(\frac{2}{5}\) to her younger sister Patricia and bought 3 books costing ₹ 25\(\frac{1}{2}\) each. How much money is left with her?

(x) The product of three fractions are 4\(\frac{3}{8}\). If two of the 2\(\frac{1}{4}\) and 1\(\frac{1}{8}\), find the third one.

Answer:

III. (i) ₹ 346\(\frac{3}{7}\)

(ii) 1\(\frac{219}{301}\)

(iii) \(\frac{7}{16}\) kg

(iv) 11\(\frac{1}{2}\) kg

(v) ₹ 71\(\frac{1}{2}\)

(vi) 30\(\frac{4}{5}\) m

(vii) 275\(\frac{1}{2}\) cm

(viii) ₹ 242\(\frac{6}{7}\)

(ix) ₹ 125\(\frac{1}{2}\)

(x) 1\(\frac{59}{81}\)

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