**Representing division as a fraction :**

In this section, we are going to see, how to represent division as a fraction.

To understand this, let us consider the following example.

Alicia and her friends Brittany, Kenji, and Ellis are going to share a pizza.

**Question :**

How much pizza will each of them receive if they divide the one complete full pizza equally ?

**Answer :**

Since this division takes place for four people, we have to divide one pizza in to four equal parts.

Out of these four parts, each one will get one part.

That is, each of them will get 1/4 of a pizza.

More clearly,

1 ÷ 4 = 1/4

Hence, the division 1 ÷ 4 can be represented as a fraction 1/4.

**Question 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 ?

**Solution : **

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. .

**Question 2 : **

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

**Solution : **

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

**Question 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

**Solution : **

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.

- Rational numbers
- Write an improper fraction as a mixed number
- Write a mixed number as an improper fraction
- Comparing an ordering decimals
- Classifying rational numbers
- Representing division as a fraction
- Identifying opposites and absolute value of rational numbers
- Positive and negative rational numbers
- Rational numbers and opposites on a number line
- Absolute value of rational numbers
- Comparing and ordering rational numbers
- Equivalent fractions and decimals
- Ordering fractions and decimals

After having gone through the stuff given above, we hope that the students would have understood "Writing division as a fraction".

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