Respuesta :
Answer:
(7/8)% = 7/800 = 0.00875
Step-by-step 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
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 [tex]\frac{7}{8} \%[/tex], meaning that we will put the [tex]\frac{7}{8}[/tex] over 100, like this:
[tex]\frac{7}{8} \% = \dfrac{\frac{7}{8}}{100} = \dfrac{7}{8} \cdot \dfrac{1}{100} = \dfrac{7}{800}[/tex]
Thus, our fraction is [tex]\boxed{\dfrac{7}{800}}[/tex].
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 [tex]\frac{7}{8} \%[/tex], the process is done as follows:
[tex]\frac{7}{8} \% = 0.875 \% = .00875[/tex]
Thus our decimal is [tex]\boxed{.00875}[/tex].