"Writing division expressions" is one of the important basic stuff of algebra in math.

Students who would like to learn solving word problems in math must study this basic stuff.

Now, let us see, how to write division expressions.

If there is any unknown value, in the given verbal phrase, replace it by some English alphabet.

The picture given below illustrates, how to write division expression for the given verbal phrase.

**Question 1 :**

Write the given verbal phrase into mathematical expression

"One fifth of sum of 3 times a number and 9"

**Answer :**

Let "x" be the number

Then, we have

**(3x+9) / 5**

**Question 2 :**

Write the given verbal phrase into mathematical expression

"One seventh of 3 less than 4 times a number"

**Answer :**

Let "x" be the number

Then, we have

**(4x-3) / 7**

**Question 3 :**

Write the given verbal phrase into mathematical expression

"One fourth of 3 times the difference between a number and 6"

**Answer :**

Let "x" be the number

Then, we have

**3(x-6) / 4**

**Question 4 :**

Write the given verbal phrase into mathematical expression

"Sum of five times of a number and 3 is divided by 4"

**Answer :**

Let "x" be the number

Then, we have

**(5x+3) / 4**

**Question 5 :**

Write the given verbal phrase into mathematical expression

"9 less than 7 times of a number is divided by 5"

**Answer :**

Let "x" be the number

Then, we have

**(7x-9) / 5**

**Question 6 :**

Jacob get "x" dollars salary and $500 incentive. He divides the total money to three of his friends evenly. Find the share of each friend.

**Answer :**

Total money received by Jacob = x + 500

He divides the total money to three of his friends equally.

Then, the share of each person is

**(x+500) / 3**

**Question 7 :**

This year, David gets 3 times of profit in the last year plus $2500 in his business. He divides the total profit of this year to his five children evenly. Find the share of each child.

**Answer :**

Let "x" be the profit in the last year

Then, total profit for this year = 3x + 2500

He divides the total profit to his 5 children evenly.

Then, the share of each child is

**(3x+2500) / 5**

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