Write 165% as a fraction and as a decimal.

Let's start with the fraction! 165% means there are 165 parts per hundred so that can be written like this:

[tex] \frac{165}{100} [/tex]

Let's factor out 5 from the top and bottom:
[tex] \frac{33}{20} [/tex] = 165%

Now all we have to do is actually divide 33 by 20 to get the decimal:

[tex] \frac{33}{20} = 1.65[/tex]

So 165% can be written in fraction form as [tex] \frac{33}{20} [/tex] and in decimal form as 1.65

Answer Link

calculista calculista · Answer 2 · 2018-08-10T06:42:07-04:00

Part a) Write [tex] 165 [/tex]% as a fraction

we know that

[tex] 165 [/tex]% is equal to

[tex] \frac{165}{100} [/tex]

Simplify the fraction

Divide by [tex] 5 [/tex] numerator and denominator

[tex] \frac{165}{100}= \frac{\frac{165}{5}}{\frac{100}{5}} \\ \\ \frac{165}{100} =\frac{33}{20} [/tex]

the fraction [tex] \frac{33}{20} [/tex] is irreducible

therefore

the answer Part a) is

[tex] 165 [/tex]% as a fraction is equal to [tex] \frac{33}{20} [/tex]

Part b) Write [tex] 165 [/tex]% as a decimal

we know that

To get the decimal, all we have to do is divide [tex] 33 [/tex] by [tex] 20 [/tex]

so

[tex] \frac{33}{20} =1.65 [/tex]

therefore

the answer Part b) is

[tex] 165 [/tex]% as a decimal is equal to [tex] 1.65 [/tex]