Question

The aspect ratio of a laptop monitor is 1.625:1 . The aspect ratio of a monitor is the ratio of its worth to its height. Write this as a ratio that involves only whole numbers, using the smallest whole numbers possible.

If the Monitor is 15 inches wide, what is the height? Round the answer to nearest hundredth if necessary.

Answer 1

Part 1) The ratio is
`(13)/(8)`

Part 2) The height is 9.23 in

Explanation:

Part 1)

Let

x ----> the wide of the monitor

y ----> the height of the monitor

z ----> the aspect ratio of a laptop monitor

`z=(x)/(y)`

we have

`z=(1.625)/(1)`

Multiply both numerator and denominator by 1,000

`z=(1.625*1,000)/(1*1,000)`

`z=(1,625)/(1,000)`

Simplify

Divide by 125 both numerator and denominator

`z=(13)/(8)`

Part 2) If the Monitor is 15 inches wide, what is the height?

we know that

`z=(x)/(y)`

we have

`z=(13)/(8)`

`x=15\ in`

substitute the given values and solve for y

`(13)/(8)=(15)/(y)`

`y=(8)/(13)(15)`

`y=9.23\ in`

therefore

The height is 9.23 in