Question

7/8% as a decimal and fraction in simplest form
Please show work

Answer 1

To convert a percentage to a fraction, put the part of the percentage before the percentage sign over a denominator of 100, and simplify. This is because percentages are values with respect to 100.

In this case, we have
`(7)/(8) \%`, meaning that we will put the
`(7)/(8)` over 100, like this:

`(7)/(8) \% = ((7)/(8))/(100) = (7)/(8) \cdot (1)/(100) = (7)/(800)`

Thus, our fraction is
`\boxed{(7)/(800)}`.

To convert a percentage to a decimal, we should take the value before the percentage sign and move it to the left two spaces. Again, this is because we are adjusting the number with respect to 100.

For
`(7)/(8) \%`, the process is done as follows:

`(7)/(8) \% = 0.875 \% = .00875`

Thus our decimal is
`\boxed{.00875}`.

Answer 2

(7/8)% = 7/800 = 0.00875

Explanation:

Recognize that % means /100, and write your fraction as ...

(7/8)% = (7/8)/100 = 7/800

You can do the long division to find the decimal equivalent (or let your calculator do it). Or, you can recall that 1/8 = 0.125 and multiply that value by 7/100 to give you ...

7/800 = (1/8)·(7/100) = 0.125 · 0.07 = 0.00875