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`



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