Question

How do you write `9/50` as a percent and a decimal?

Answer 1

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as `x/100`.

So we can write and solve:

`x/100 = 9/50`

`color(red)(100) xx x/100 = color(red)(100) xx 9/50`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 900/50`

`x = 18`

Therefore, `9/50 = 18/100 = 18%`

18 hundredths can be written as: `0.18`

Answer 2

`9/50 = 18/100 = 18% = 0.18`

Explanation:

A Fraction, decimal and percent are all different ways of expression the same value. They are equal and interchangeable.

For example:

`1/2= 5/10 = 0.5 = 0.50 = 50/100 = 50%`

A percent can be written as a fraction with a denominator of `100`
Find the equivalent fraction of `9/50`

`9/50 color(blue)(xx 2/2) = 18/100 = 18%" "larr color(blue)(xx 2/2)` (same as `xx1)`

Decimals are a way of writing fractions which have their denominators as powers of `10`

`9/50 = 18/100 = 18% = 0.18`