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Fractions

Fraction

: set of numbers which is represented in this form a/b eg: 4/5

Lowest term

:it means functions can't be simplified further eg:
a)16/15 lowest form:16/15 b) 34/17 lowest form: 2/1
c) 35/45 lowest form : 7/5 (by dividing both numerator and denomenator with same number)
d) 56/81 lowest form : 6/9

Equivalent fraction

:The set of fractions which have same
lowest fraction is called equivalent
fraction eg: 12/45=4/15(by dividing numerator and denomenator with 3) 8/30,4/15,12/45

proper fraction:

The fraction which numerator is less than denomenator is called proper fraction
Eg: 3/5,7/8,3/9,7/9 .

improper fraction

: The fraction which denomenator is less than numerator is called improper fraction.
Eg:7/5,9/5,90/78 .
Addition and substraction of like fractions:
eg: i)(45/567) + (234/567)=(45+234)/567=479/567 ii)(456/67)-(56/67)=(456-56)/67=400/56

mixed fraction:

improper fraction is represented in following way
31/5=6 1/5 (where 6 is remainder,1 is quotient.)
Conversion of mixed fraction into proper fraction:12 5/6 = 77/6
the L.C.M of denomenators(18,12)
l.c.m=36
345/12=(345*3)/(12*3) ,567/18= (567*2/18*2)
= (1035/36)+(1134/36)
= 2169/36
ii)substraction of unlike fraction: i) (456/36)-(12/45)
l.c.m of denomenators(36,45)=180
456/36=(456*5)/(36*5)=2280/180
(12*4)=48/180
(2280/180)-(48/180)
=2232/180
iii) muliplication of fraction :(34/18)*(12/24)
=(34*12)/(24*18)(by dividing numerator and denomenator with 12)
=34/18*2(by dividing numerator and denomenator with 2)
=17/18

EASY LEVEL



1.Which of the following is proper fraction
a) 23/45 b)56/56 c) 26/25 d)12/12

Ans :a) 23/45
check the answer!!!
2.Which of the following pair is improper fraction
a) 45/23 b)34/34 c)12/12 d)12/23

Ans:a)45/23
check the answer!!!
3.The lowest term 128/48 is
a) 32/12 b)8/3 c)1/3 d)2/3

Ans:b)8/3
check the answer!!!
4.The lowest term of 45/12 is
a) 9/4 b) 4/9 c) 12/45 d)45/12

5.The lowest term of 23/45 is
a)23/45 b)45/23 c)12/23 d)23/45

6.the lowest term of 64/12 is
a) 16/3 b) 34/12 c) 64/12 d)12/64

7.26/6 is in mixed form would be
a) 4 2/6 b)2 23/6 c)4 5/6 d) 12 2/6

8.7 2/9 would be in fraction form

a)65/9 b)23/7 c) 34/45 d)9/65

9.724/12 is in mixed form would be
a)4 60/12 ii)3 24/12 iii)2 12/24 iv) 23/45

10. 3 5/12 would be
a) 41/12 b) 36/12 c)23/12 d) 23/13

MEDIUM LEVEL



1.Which of the following fraction is equivalent fraction
a)12/45,4/15 b)23/46,12/45 c)12/23,23/12 d)12/13,13/13

Ans:a)12/45(by dividing numerator and denomenator with 3)=4/15
check the answer!!!
2.Which of the following fraction is equivalent fraction
a)34/36,17/18 b)23/12 ,12/23 c)64/12 ,56/13 d) 12/23,12/24

Ans:34/36 = 17/18(by dividing both numerator n denomenator with 2)
check the answer!!!
3.(34/35)+(12/35) would be
a)46/35 b) 12/35 c)34/35 d)14/35

Ans: a) (34+12)/35=46/35
check the answer!!!
4.(111/23)-(12/23) would be
a)99/23 b)77/23 c)88/13 d) 56/23

5.(7/18)+(17/24) would be

6.(7/80)+(8/10) would be

7.(9/10)-(10/50) would be

8.(28/7)*(56/121) would be

9.(45/9)*(34/21) would be

10.(81/4)*(260/9) would be

HARD LEVEL

1.{(80/90)*(67/64)+(68/80)} would be

Ans: a)(80/90)=8/9=(8/9)*(67/64)=(67/72), 68/80= 17/20 ,(67/72)+(17/20)=(67*5+17*18)/360 =335+306/360 = 641/360
check the answer!!!
2.[{(456/90)/(64/36)}-{(648*42)/(24*48)}]

Ans: 456/90=76/15, 36/64=9/16,(76/15)*(9/16)=(3*19)/20=57/20 42/24 = 6/7 ,648/48==27/2,{(648*42)/(24*48)}81/7, (57/20)-(81/7)={(57*7)-(81*20)}/140 =(399-1620)/140=-1221/140
check the answer!!!
3.[{(-36/48)*(678/54)}+(-720/24)/(-90/64)] would be

Ans: -36/48 = -3/4,678/54=113/9 ,{(-36/48)*(678/54)} = (-3/4)*(113/9)=(-113/12) (-720/24)/(-90/64)=(-720/24)*(-64/90)=8*8/3=64/3 (-113/12)+(64/3)= (-113 +256)/12= 143/12
check the answer!!!
4.Sohail has bought 5 dozen eggs at the cost of Rs.660.The cost of per egg would be

5.Mahesh bought one bicycle Rs.5600 and one mobile phone of Rs. 16999.1/5 of total amount was paid by Mahesh
and rest by his father.The amount paid by his,

father. 6.Suresh bought 35 apples,15 oranges and 64 guavas.1/5 apples,12/7 guavas, 3/4 oranges got rotten.
find the fruits left fresh would be

7.Akash had Rs.23456781, 19/21 was given to suresh ,17/31 was given to Sohail.How much is left
with Akash.

8.Simplyfy [(45/34)*(89/9)+(9/60)*(7/8)]

9.Simplyfy [(89*9)+(9/8)*(67/49)]

10.Simplyfy (256/4)*(789/34)+(34/2)/(34/68)

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