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 = (------- รท 66) Kg
2
[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.)