# Convert Percent to Fractions and Decimals In the following exercises,

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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Thomas Conway

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.
$$\displaystyle{\frac{{{4}}}{{{100}}}}={\frac{{{2}\cdot{2}}}{{{25}\cdot{2}\cdot{2}}}}$$
$$\displaystyle={\frac{{{2}\cdot{{{2}}}}}{{{25}\cdot{{{2}}}\cdot{{{2}}}}}}$$
$$\displaystyle{\frac{{{4}}}{{{100}}}}={\frac{{{1}}}{{{25}}}}$$