Fraction Number Sentences

Monday, April 29, 2013

Fraction Number Sentences

In math, the term sentence defines math sentence. Math sentence replaces the equations and symbols by English terms. We have to convert it into an equation and find the solution. Fraction is a ratio of numbers or variables. In math ,sentence is one of the terms may not be known and needs to be determined. We can convert any math sentence into an equation. In this lesson we will discuss the fraction number sentences .

Fraction Number Sentences – Example Problems

Solved example fraction number sentences problems.

Example 1: `3/5` of a number is equal to 5 less than `4/5` of a number. Find the number.

Solution:

Let unknown number be x.

`3/5` of a number = `(3x)/5`

5 less than 4/5 a number = `(4x)/5 - 5`

`(3x)/5 = (4x)/5 - 5`

`(3x)/5 = (4x-25)/5`

Multiply both sides by 5

3x = 4x – 25

Solve for x to get

x = 25

Example 2: Six more than `5/7` of a number is equal to 3 less than `6/7` of a number. Find the number.

Solution:

Let unknown number be x.

Six more than `5/7` of a number = `(5x)/7 + 6`

3 less than `6/7` of a number = `(6x)/7 - 3`

`(5x)/7 + 6 = (6x)/7 - 3`

`(5x + 42)/7 = (6x - 21)/7`

Multiply both sides by 7

5x + 42 = 6x – 21

Solve for x to get

x = 63

Example 3: Flozia had 75 chocolates in her bag. She sold `4/5` of them at $9 each. How much did she receive?

Solution:

First find the number of chocolates she sold.

`4/5` x 75 = 60

She sold 60 chocolates.

Find how much money she received.

60 × 9 = 540

She received $540.

Example 4: `4/7` of a group of students in a hall is boys. If there is 36 boys in a group, how many students are there in the group?

Solution:

Let x = Total students in a group

So, write an equation as follows

`(4x)/7` = 36

4x = 252

x = 63

Therefore 63 students are there in the group.