Question

A wall of a building is 30 inches wide.Sixteen inches is concrete,10 inches is brick, and 4 inches is limestone . What fraction of the wall is limestone

Answer 1

2/15

Explanation:

Fractions can be found by dividing the part by the whole.

part/whole

In this problem, the part is the limestone portion of the wall and the whole is the total width of the wall.

limestone/total

16 inches are concrete, 10 inches are brick and 4 inches are limestone. The total width is 30 inches.

limestone = 4

total = 30

4/30

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 2.

(4/2) / (30/2)

2/ (30/2)

2/15

This fraction cannot be simplified further, therefore it is our answer.

2/15 of the wall is limestone.

Answer 2

`Fraction = (2)/(15)`

Explanation:

Given

Wall = 30 inches

Concrete = 16 inches

Brick = 10 inches

Limestone = 4 inches

Required

Fraction of the wall that is limestone

The fraction of limestone is calculated as follows;

`Fraction = (Size\ of\ limestone)/(Size\ of\ wall)`

Substitute 4 for size of limestone and 30 for size of size of wall

The formula becomes

`Fraction = (4)/(30)`

Divide numerator and denominator by 2

`Fraction = (4/2)/(30/2)`

`Fraction = (2)/(15)`

The fraction can not be further simplified; hence, the fraction of limestone is
`(2)/(15)`