# Fraction

## Exercise 2.4

Question 1: Find the following by dividing:

(a) 12÷3/4

Answer: 12÷3/4=12xx4/3=4xx4=16

(b) 14÷5/6

Answer: 14÷5/6=14xx6/5=(84)/(5)=16\4/5

(c) 8÷7/3

Answer: 8÷7/3=8xx3/7=(24)/(7)=3\3/7

(d) 4÷8/3

Answer: 4÷8/3=4xx3/8=3/2=1\1/2

(e) 3÷2\1/3

Answer: 3÷2\1/3=3÷7/3=3xx3/7=9/7=1\2/7

(f) 5÷3\4/7

Answer: 5÷3\4/7-5÷(25)/(7)=5xx(7)/(25)=7/5=1\2/5

Question 2: Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.

(a) Find the reciprocal of the following: 3/7

Answer: Reciprocal of 3/7 = 7/3
It is an improper fraction.

(b) Find the reciprocal of 5/8

Answer: Reciprocal of 5/8 = 8/5
It is an improper fraction.

(c) Find the reciprocal of 9/7

Answer: Reciprocal of 9/7 = 7/9
It is a proper fraction.

(d) Find the reciprocal of 6/5

Answer: Reciprocal of 6/5 = 5/6
It is a proper fraction.

(e) Find the reciprocal of (12)/(7)

Answer: Reciprocal of (12)/(7) = (7)/(12)
It is a proper fraction.

(f) Find the reciprocal of 1/8

Answer: Reciprocal of 1/8 = 8/1
It is a whole number.

(g) Find the reciprocal of (1)/(11)

Answer: Reciprocal of (1)/(11) = (11)/(1)
It is a whole number.

Question 3: Divide and find the value of following:

(a) 7/3÷2

Answer: 7/3÷2=7/3xx1/2=7/6=1\1/6

(b) 4/9÷5

Answer: 4/9÷5=4/9xx1/5=(4)/(45)

(c) (6)/(13)÷7

Answer: (6)/(13)÷7=(6)/(13)xx1/7=(6)/(91)

(d) 4\1/3÷3

Answer: 4\1/3÷3=(13)/(3)xx1/3=(13)/(9)=1\4/9

(e) 3\1/2÷4

Answer: 3\1/2÷4=7/2xx1/4=7/8

(f) 4\3/7÷7

Answer: 4\3/7÷7=(31)/(7)xx1/7=(31)/(49)

Question 4: Divide and find the value of following:

(a) 2/5÷1/2

Answer: 2/5÷1/2=2/5xx2/1=4/5

(b) 4/9÷2/3

Answer: 4/9÷2/3=4/9xx3/2=2/3

(c) 3/7÷8/7

Answer: 3/7÷8/7=3/7xx7/8=3/8

(d) 2\1/3÷8/3

Answer: 2\1/3÷8/3=7/3xx3/8=7/8

(e) 2/5÷1\1/2

Answer: 2/5÷1\1/2=2/5÷3/2=2/5xx2/3=(4)/(15)

(f) 3\1/5÷1\2/3

Answer: 3\1/5÷1\2/3=(16)/(5)÷5/3=(16)/(5)xx3/5=(48)/(25)=1\(23)/(25)

(g) 2\1/5÷1\1/5

Answer: 2\1/5÷1\1/5=(11)/(5)÷6/5=(11)/(5)xx5/6=(11)/(6)=1\5/6