Convert Percent to Fractions and Decimals In the following exercises,

mronjo7n 2021-11-21 Answered
Convert Percent to Fractions and Decimals In the following exercises, convert each percent to a fraction and simplify all fractions.
135%

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Expert Answer

navratitehf
Answered 2021-11-22 Author has 297 answers

Formula used:
Convert a percent to a fraction:
Step 1: Write the percent as a ratio with the denominator 100.
Step 2: Simplify the fraction if possible.
Calculation:
Consider 135%.
Let us write the percent as a ratio with the denominator 100.
\(\displaystyle{135}\%={\frac{{{135}}}{{{100}}}}\)
Now let us simplify \(\displaystyle{\frac{{{135}}}{{{100}}}}\) by cancelling out the common factors.
\(\displaystyle{\frac{{{135}}}{{{100}}}}={\frac{{{5}\cdot{3}\cdot{3}\cdot{3}}}{{{2}\cdot{2}\cdot{5}\cdot{5}}}}\)
\(\displaystyle={\frac{{{{{5}}}\cdot{3}\cdot{3}\cdot{3}}}{{{2}\cdot{2}\cdot{5}\cdot{{{5}}}}}}\)
\(\displaystyle{\frac{{{135}}}{{{100}}}}={\frac{{{27}}}{{{20}}}}\)

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