Verified Answer :

ddk

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

\(\frac{165}{100}\)

Let's factor out 5 from the top and bottom:
\(\frac{33}{20}\) = 165%

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

\(\frac{33}{20} = 1.65\)

So 165% can be written in fraction form as \(\frac{33}{20}\) and in decimal form as 1.65

calculista

Part a) Write \(165\)% as a fraction

we know that

\(165\)% is equal to

\(\frac{165}{100}\)

Simplify the fraction

Divide by \(5\) numerator and denominator

\(\frac{165}{100}= \frac{\frac{165}{5}}{\frac{100}{5}} \\ \\ \frac{165}{100} =\frac{33}{20}\)

the fraction \(\frac{33}{20}\) is irreducible

therefore

the answer Part a) is

\(165\)% as a fraction is equal to \(\frac{33}{20}\)

Part b) Write \(165\)% as a decimal

we know that

To get the decimal, all we have to do is divide \(33\) by \(20\)

so

\(\frac{33}{20} =1.65\)

therefore

the answer Part b) is

\(165\)% as a decimal is equal to \(1.65\)

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