Converting Forms Strategically - Pre Algebra

1. What fraction is equivalent to $33\frac{1}{3}\%$?

   $\frac{1}{3}$. Thirty-three and one third out of $100$ simplifies to one third.

2. Using a fraction equivalent, what is $60\%$ of $45$?

   $27$. Since $60\% = \frac{3}{5}$, and $\frac{1}{5}$ of $45$ is $9$.

3. By converting to decimals, which is least: $\frac{2}{5}$, $0.38$ or $41\%$?

   $0.38$. The others are $0.4$ and $0.41$.

4. Rewriting the decimal as a fraction, what is $0.75 \times 36$?

   $27$. Since $0.75 = \frac{3}{4}$, compute $\frac{3}{4}$ of $36$.

5. Using a fraction equivalent, what is $0.2 \times 85$?

   $17$. Since $0.2 = \frac{1}{5}$, find $\frac{1}{5}$ of $85$.

6. By converting to percents, which is greater: $\frac{7}{20}$ or $34\%$?

   $\frac{7}{20}$. It equals $\frac{35}{100} = 35\%$.

7. A shirt is $40\%$ off. As a fraction in simplest form, what part of the original price is paid?

   $\frac{3}{5}$. The part paid is $60\% = \frac{60}{100}$.

8. Using a fraction equivalent, what is $25\%$ of $64$?

   $16$. Since $25\% = \frac{1}{4}$, find $\frac{1}{4}$ of $64$.

9. Rewriting the decimal as a fraction, what is $\frac{2}{3}$ of $0.9$?

   $0.6$. Since $0.9 = \frac{9}{10}$, compute $\frac{2}{3} \cdot \frac{9}{10} = \frac{6}{10}$.

10. Using a decimal multiplier, what is $150\%$ of $30$?

    $45$. Since $150\% = 1.5$, compute $1.5 \times 30$.

11. Using a fraction equivalent, what is $12.5\%$ of $48$?

    $6$. Since $12.5\% = \frac{1}{8}$, find $\frac{1}{8}$ of $48$.

12. What are the decimal and percent forms of $\frac{1}{5}$?

    $0.2$ and $20\%$.

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