In this page fraction
word problems 17 we are going to see practice problem in the topic
fraction and you can find the solution for this problem with detailed
steps and explanation. fraction word problems 17

(i) Before adding or subtracting any two or three fractions first we need to consider the denominator of the fractions.

(ii) If the denominators are same,we can put only one denominator and we can add or subtract the numerator.

(iii) If we have different denominators, we should take L.C.M of the fraction and we need change them as same.Then we can add or subtract.

(iv) For multiplying two fractions we do not have to consider the denominators.We should multiply numerator with numerator and denominator with denominator.

Question:

A pen is 13 ⅝ cm long. A pencil is 9 ½ cm long. Find the difference in length. fraction word problems 17

__Basic idea:__

In this problem we are having length of two items.One is pencil and another is pen. And we need to find the difference in lengths.Here we need to subtract two lengths to get the final answer.So we have to find length of pencil from the length of pen.

fraction word problems 17

Solution :

Length of pen = 13 ⅝ cm

Length of pencil = 9 ½ cm

Difference in length = Length of pen - Length of pencil

Difference in length = 13 ⅝ - 9 ½

= (104+5)/8 - (18+1)/2

= (109/8) - (19/2)

The denominators of two fractions are not same.So we have to take L.C.M.

L.C.M = 8

= (109/8) - (19/2) x (4/4)

= (109/8) - (76/8)

= (109-76)/8

= 33/8

Now we have to convert this improper fraction as mixed fraction.For that we have to divide 33 by 8.So we will get 4 as quotient 8 s divisor and 1 as remainder.

So the final answer is 8 ¼.

(1) A fruit merchant bought mangoes in bulk. He sold

⅝ of the mangoes. 1/16 of the mangoes were spoiled. 300 mangoes remained with him. How many mangoes did he buy? Solution

(2) A family requires 2 ½ liters of milk per day.How much milk would family require in a month of 31 days?

Solution

(3) A ream of paper weighs 12 ½ kg What is the weight per quire, if 20 quire make one ream? Solution

(4) It was Richard's birthday.He distributed 6 kg of sweets among her friends.If he gave ⅛ kg of sweet to each.How many friends are there? Solution

(5) 6 students went on a picnic.One student agreed to bear half of the expenses. The remaining 5 students shared the remaining expenses equally. What fraction of the expenses does each of 5 students pay?Solution

(6) I have 2 ½ times money that David has. If i have $100,how much money does David have? Solution

(7) In a basket there are two kinds of sweet packets. There are 7 packets of the first kind each weighing 1 ¼ kg and 9 packets of the second kind each weighing ¾ kg . What is the total weight of the sweets in the basket? Solution

(8) How many half-liter bottles can be filled from a can containing 37 ½ liter of milk? Solution

(9) A gentleman bought 200 liter of milk for a function. ⅘ of it was used for preparing candies. ¾ of the remaining milk was used for preparing coffee. How much of the milk remained. Solution

(10) Two third of a tank can be filled in 18 minutes. How many minutes will it require to fill the whole tank?

Solution

(11) A clerk works 4 ½ hours in the morning and 2 ⅘ hours in the afternoon. Find how many hours does she work each day? Solution

(12) Mary had 4 ⅘ m of lace. She used 3 ⅔ m of a lace for a hand kerchief. How much lace did she have left?

Solution

(13) An artist took 1 ½ hours to paint one picture. He took 1 ⅙ hours to paint another picture. How much time did he take to paint both pictures? Solution

(14) John had 5 ½ tins of paint. After painting a hall, he had 2 ¾ tins of paint left. How many tins of paint did he use?Solution

(15) A brick of weights 2 ½ kg .A stone is 1 ⅕ kg lighter than the brick. Find the weight of the stone required.

Solution

(16) Mary used 1 ¾ bars of chocolate to make a cake. She used 1 ⅜ bars of chocolate to make a pudding.How many bars of chocolate did she use altogether? Solution

(17) A pen is 13 ⅝ cm long. A pencil is 9 ½ cm long. Find the difference in length. Solution

(18) Jennifer made 4 cakes for a class party. The pupils ate 2 ½ cakes. How much cakes was left over?

Solution

(19) Peter spends 3 ½ hours for doing his home work,3 hours for reading novels and 1 ¾ hours for playing games. How much time does he spend in all? Solution

(20) Peter bought 1 ⅛ m of iron wire and 2 ⅔ m of copper wire. How much wire did he buy altogether? Solution