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4-130.

In this lesson you looked for ways to convert between equivalent forms of fractions, decimals, and percents. For each of the given portions, write the other forms of the number. Show your work so that a team member could understand your process.

1. Write $\frac { 4 } { 5 }$ as a decimal and as a percent.

$\text{This fraction can be written as }\left ( \frac{4}{5} \right )\left ( \frac{20}{20} \right )=\frac{80}{100}.$

As a decimal and a percent, this is equivalent to $0.8$ or $80\%$. Can you describe this portion in words?

2. Write 0.30 as a fraction and as a percent.

This can be said as 3-tenths and 0-hundredths or 30 hundredths. How can this help you rewrite it?

3. Write 85% as a fraction and as a decimal.

How is this problem similar to the commonly used percent shown below?

$75\%\;=\;\frac{75}{100}\;=\;\frac{3}{4}\;=\;0.75$

$85\%\text{ is equal to }\frac{85}{100}\text{ and }0.85.$

4. Write 1.23 as a percent and as a fraction.

$\text{We know that 1 is equal to: }100\%\text{ and }\frac{100}{100}.$

Can you find what percent and fraction are equal to 0.23? Then, you will need to add the two values.

1.23 is equal to %123