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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 212 liters of water. How much water 30 such bottles will contain?

(ii) One school uniform requires 214 m of cloths. How much cloth 28 such shirts required?

(iii) Cost of an ink pot is ₹ 814. Find the cost of 12 such ink pots.

(iv) A pool car covers 1812 km in one litre of diesel. How many kilometres will it cover in 814 litres of diesel? 

(v) Michael needs 1512 dozens of oranges. If the cost of 1 dozen orange is ₹ 512. How much money Michael need to buy 1512 dozens of oranges?


Answer:

I. (i) 75 liters of water.

(ii) 63 m of cloths.

(iii) ₹ 99

(iv) 15258 km

(v) ₹ 85.25


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

(i) 1535 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 37 m long can be cut from a roll of 247 m long?

(iii) How many pieces of a cake of 38 g can be cut from from 334 g of cake?

(iv) How many packets contain 214 kg of sugar can be made from 5812 kg of sugar?

(v) Nairitee needs some pieces of ribbons of 49 m long. How many such pieces can be cut from a ribbon of ribbon of 1429 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 514 ℓ of petrol is ₹ 21814What is the cost of of 813 ℓ of petrol? 

(ii) The product of two fractions is 927. One of them is 538. Find the other one.

(iii) 514 kg of flour is needed for making 12 cakes. How much flour is needed for making one cake?

(iv) 4 balls weigh 534 kg. How much will 8 such balls weigh?

(v) The cost of 212 of milk is 2712 What is the cost of 612 of milk?

(vi) 215 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 714 cm long. Find the total length of 38 such pieces.

(viii) James bought 12 registers. Each register costs ₹ 2137. He gave the shopkeeper a note of five-hundred rupee. How much he get back from the shopkeeper?

(ix) David had ₹ 30525 in her purse. He gave ₹ 10325 to her younger sister Patricia and bought 3 books costing ₹ 2512 each. How much money is left with her?

(x) The product of three fractions are 438. If two of the 214 and 118, find the third one.


Answer:

III. (i) ₹ 34637

(ii) 1219301

(iii) 716 kg

(iv) 1112 kg

(v) 7112

(vi) 3045 m

(vii) 27512 cm

(viii) ₹ 24267

(ix) 12512

(x) 15981

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