Question

4.) JE

13. Represent Write three different fractions
that each match the shaded part of the
drawing.
n

Answer 1

`(8)/(12)`,
`(4)/(6)`,
`(2)/(3)`

Explanation:

We have been given a diagram. We are asked to write three different fractions that each match the shaded part of the drawing.

First of all, we will count total sections of the circle.

We can see that there are 12 sections in the circle and 8 of them are shaded.

`\frac{\text{Shaded part}}{\text{Total sections}}`

`(8)/(12)`

Reduce fraction:

`(2*4)/(2*6)`

`(4)/(6)`

Reduce fraction again:

`(2*2)/(2*3)`

`(2)/(3)`

Therefore, our required fractions are
`(8)/(12)`,
`(4)/(6)`,
`(2)/(3)`.

Answer 2

The fractions are 8/12 , 4/6 , 2/3

Explanation:

* Lets explain how to solve the problem

- The circle divided into 12 equal parts

∴ The total number of parts is 12

∴ The denominator of the fraction is 12

- The shaded part contains 8 parts

∴ The number of shaded parts is 8

∴ The numerator of the fraction is 8

∴ The fraction which represents the shaded part is 8/12

- To find the equivalent fractions you can multiply or divide both

numerator and denominator by the same number

∵ The fraction is 8/12

∵ 8 and 12 divisible by 2

∴ Divide 8 and 12 by 2

∴ 8/12 = 4/6

∵ The fraction is 8/12

∵ 8 and 12 divisible by 4

∴ Divide 8 and 12 by 4

∴ 8/12 = 2/3

∴ 8/12 = 4/6 = 2/3

* The fractions are 8/12 , 4/6 , 2/3