Question

Help Please

The aspect ratio of a laptop monitor is 1.625:1. The aspect ratio of a monitor is the ratio of its width to its height.

1. Write this as a ratio that involves only whole numbers, using the smallest whole numbers possible.
____:____

2. 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