# CLASS-5FRACTION - WORD PROBLEM

FRACTION - WORD PROBLEM

Example.1)

1                                                   3

Richard spend 1------ hours to finish his Maths home work, 1 ------

4                                                   4

3

hours to do his Science home work and ------ hours to do his English

4

home work. How long did he take to complete his home work?

1         5

Ans.)  Richard has spend  1----- = ----- hours for maths home work,

4         4

3          7                               3

spend 1------ = ------ hours for science and ----- hours for english

4          4                               4

5          7          3

So, Richard total hours spent for his studies = ------ + ------ + ------

4          4          4

5 + 7 + 3

=  ------------

4

15           3

= ------ = 3 ----- hours

4           4

3

So, Richard has spent 3----- hours for his study.      (Ans.

4

Example.2)

2

The distance between two places is 100km. Powell traveled first 33----km

3

by bus and the and the remaining distance by train. Find the distance Powell traveled by train.

2         101

Ans.) Powell, traveled 33 ------ = ------- km by bus of 100 km distance

3           3

remaining distance powell covered by train, so distance covered by train is-

101

100 - -------

3

[Subtract the distance powell traveled by bus from the distance between the two places (i.e., the total distance traveled by powel)]

100       101

=  ------ - ------

1          3

(100 X 3) - 101

=    ------------------

3

(300 - 101)

=   ---------------

3

199            1

=  ------ = 66 ------ km

3              3

1

So, distance covered by train is 66 ------ km       (Ans.)

3

1

Example.3) Find the distance covered by a bus in 4 ----- hours if the

2

6

speed of the bus is 30 ------ km per hour.

7                                                                                                                           6

Ans.)  As per the given condition, speed of the bus is 30 ------ km

7

6

means, by 1 hour bus move 30 ------ km

7

1                              6           1

now, by 4 ------ hour bus move =  30 ----- X 4 -----

2                               7           2

[Convert mix fraction into improper fraction]

{(30 X 7) + 6}        (4 X 2) + 1

= -------------- X -------------

7                     2

216          9

=  ------- X -------

7            2

[ 2 is common factor for 216 & 2 ]

108 X 9

=  -----------

7

972               6

=  -------- = 138 ------ km

7                7

6

So, the covered distance is 138 ------ km      (Ans.)

7

1

Example.4) If 54 ------ kg of rice is distributed among 66 poor

2

people, find how much rice each one gets?

Ans.)

1            (54 X 2) + 1

Quantity of rice distributed = 54 ----- kg = --------------

2                 2

109

= ------- kg

2

[Convert the mixed number into improper fraction]

Number of people who got the rice = 66

109

Quantity of rice each person got = (------- ÷ 66) Kg

[Divide the quantity of rice distributed by the number of people who got the rice]

109            1

= -------- X --------  Kg

2             66

109 X 1

= -----------   Kg

2 X 66

109

=  -------  Kg

132

Each one gets 109/132 Kg of foods.      (Ans.)