Convert Percent to Fractions and Decimals In the following exercises,

deliriwmfg 2021-11-22 Answered
Convert Percent to Fractions and Decimals In the following exercises, convert each percent to a fraction and simplify all fractions.
4%.

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Expert Answer

Thomas Conway
Answered 2021-11-23 Author has 441 answers

Calculation:
Consider 4%.
Let us write the percent as a ratio with the denominator 100.
\(\displaystyle{4}\%={\frac{{{4}}}{{{100}}}}\)
Now let us simplify \(\displaystyle{\frac{{{4}}}{{{100}}}}\) by cancelling out the common factors.
\(\displaystyle{\frac{{{4}}}{{{100}}}}={\frac{{{2}\cdot{2}}}{{{25}\cdot{2}\cdot{2}}}}\)
\(\displaystyle={\frac{{{2}\cdot{{{2}}}}}{{{25}\cdot{{{2}}}\cdot{{{2}}}}}}\)
\(\displaystyle{\frac{{{4}}}{{{100}}}}={\frac{{{1}}}{{{25}}}}\)

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