WRITING DIVISION AS A FRACTION

Example 1 :

3 ÷ 4 can be written 3/4 . How are the dividend and divisor of a division expression related to the parts of a fraction ?

Answer :

Always dividend is related to numerator of the fraction and divisor is related to denominator of the fraction.

In the division 3 ÷ 4, 3 is dividend and 4 is divisor.

Hence, the dividend 3 is related to the numerator 3 of the fraction and the divisor 4 is related to the denominator 4 of the fraction.

Example 2 :

How could we write the division as a fraction if 5 people shared 2 pizzas ?

Answer :

Fromm the given information, it is clear that 2 pizzas are going to be divided among 5 people.

So, the dividend is 2 and the divisor is 5.

Always dividend is related to numerator of the fraction and divisor is related to denominator of the fraction.

Therefore, the division 2 ÷ 5 can be represented as a fraction 2/5.

Example 3 :

Jason and his 2 roommates share the cost of the electric bill evenly. If the electric bill is $104, write a fraction which represents the share of each of them.

Answer :

Fromm the given information, it is clear that $104 is going to be divided among 3 people (Jason and  his 2 room mates).

So, the dividend is 104 and the divisor is 3.

Always dividend is related to numerator of the fraction and divisor is related to denominator of the fraction.

Then, the division 104 ÷ 3 can be represented as a fraction 104/3.

Hence, the fraction which represents the share of each of them is $104/3.

Example 4 :

If 3/8 of a shipping container holds 2100 identical cartons, how many cartons will fit into :

a)  5/8 of the container

b)  by whole container ?

Answer : 

Number of cartons that 3/8 of the container hold = 2100

One container hold = 2100 ÷ (3/8)

= 2100 x (8/3)

= 700 x 8

= 5600 cartons

a) Number of cartons in 5/8 of the container has 

= 5/8 of 5600

= (5/8) x 5600

= 5 x 700

= 3500 containers

b) Number of cartons in the whole container = 5600.

Example 5 :

2/3 of an amount of money is $519. Find

a) 1/3 of the money 

b) the whole amout

Answer : 

a)  2/3 of the amount = 519

1/3 of the money = 519/2

= 259.5

b) The whole amount = 519 / (2/3)

= 519 x (3/2)

= 778.5

Example 6 :

4/5 of a soy bean crop is 2104 tonnes. Find the weight of 

a) 1/5 of the crop

b) the whole crop

Answer : 

a)  4/5 of the crop = 2104

1/5 of the crop = 2104 / 4

= 526

b) the whole crop = 2104 / (4/5)

= 2104 x (5/4)

= 526 x 5

= 2630 tonnes

Example 7 :

2/11 of Jo's weekly earning are paid as income tax. She has $666 remaining after tax. What is her weekly pay ?

Answer : 

2/11 of her weekly salary = income tax

After paying 2/11 salary, the remaining part will be 1 - (2/11)

= 9/11

9/11 of her weekly salary = remaining part

9/11 of her weekly salary = 666

her weekly salary = 666 / (9/11)

= 666 x (11/9)

= 814

So, her weekly salay is $814.

Example 8 :

3/13 of a field was searched for truffles and 39 were found. How many truffles would expect to find in the remainder of the field ?

Answer : 

3/13 of field searched for truffles = 39

Total truffles = 39/(3/13)

= 39 x (13/3)

= 13 x 13

= 169

Number of truffles remainder = 169 - 39

= 130

So, the number of truffles in the field is 130.

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