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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