Fractions, Decimals, and Percents - SSAT Upper Level Quantitative

1. What is the fraction in simplest form for the decimal $0.125$?

   $\frac{1}{8}$. Expressing 0.125 as $\frac{125}{1000}$ and simplifying by dividing by 125 gives this fraction.

2. What is the decimal equivalent of $ $\frac{3}{5}$?

   $0.6$. Dividing 3 by 5 yields this decimal value.

3. What is the percent equivalent of $ $\frac{1}{4}$?

   $25\%$. Multiplying the decimal equivalent 0.25 by 100 gives this percentage.

4. What is the decimal equivalent of $ $\frac{1}{4}$?

   $0.25$. Dividing 1 by 4 results in this decimal through long division.

5. What is the decimal equivalent of $ $\frac{4}{5}$?

   $0.8$. Dividing 4 by 5 results in this decimal.

6. What is the decimal equivalent of $ $\frac{1}{5}$?

   $0.2$. Dividing 1 by 5 results in this terminating decimal.

7. What is the percent equivalent of $ $\frac{3}{4}$?

   $75\%$. Multiplying the decimal equivalent 0.75 by 100 yields this percentage.

8. What is the decimal equivalent of $ $\frac{1}{2}$?

   $0.5$. Dividing 1 by 2 yields this decimal value as the equivalent representation.

9. What is the decimal equivalent of the percent $12.5\%$?

   $0.125$. Dividing 12.5 by 100 shifts the decimal two places left to obtain this value.

10. What is the fraction in simplest form for the decimal $0.2$?

    $\frac{1}{5}$. Writing 0.2 as $\frac{2}{10}$ and reducing by dividing by 2 yields this simplest fraction.

11. What is the percent equivalent of $ $\frac{3}{5}$?

    $60\%$. Multiplying the decimal equivalent 0.6 by 100 gives this percentage.

12. What is the percent equivalent of $ $\frac{4}{5}$?

    $80\%$. Multiplying the decimal equivalent 0.8 by 100 converts it to this percentage.

13. What is the fraction in simplest form for the decimal $0.75$?

    $\frac{3}{4}$. Converting 0.75 to $\frac{75}{100}$ and simplifying by dividing by 25 produces this fraction.

14. What is the rule for converting a percent $p\%$ to a decimal?

    Compute $\frac{p}{100}$. Dividing the percentage value by 100 shifts the decimal point two places left to obtain the decimal form.

15. What is the rule for converting a fraction $ $\frac{a}{b}$ to a decimal?

    Compute $a \div b$. Dividing the numerator by the denominator directly yields the decimal equivalent of the fraction.

16. What is the fraction in simplest form for the percent $12.5\%$?

    $\frac{1}{8}$. Expressing 12.5% as $\frac{12.5}{100} = \frac{125}{1000}$ and simplifying by dividing by 125 gives this fraction.

17. What is the decimal equivalent of $ $\frac{3}{4}$?

    $0.75$. Dividing 3 by 4 produces this decimal value.

18. What is the percent equivalent of $ $\frac{1}{5}$?

    $20\%$. Multiplying the decimal equivalent 0.2 by 100 converts it to this percentage.

19. What is the percent equivalent of the decimal $0.045$?

    $4.5\%$. Multiplying 0.045 by 100 shifts the decimal two places right to form this percentage.

20. What is the percent equivalent of $ $\frac{1}{2}$?

    $50\%$. Multiplying the decimal equivalent 0.5 by 100 converts it to this percentage.

21. What is the rule for converting a percent $p\%$ to a fraction in simplest form?

    Write $\frac{p}{100}$ and reduce. Expressing the percent as a fraction with denominator 100 and simplifying by dividing by the greatest common divisor gives the reduced form.

22. What is the decimal equivalent of the percent $0.5\%$?

    $0.005$. Dividing 0.5 by 100 moves the decimal two places left to reach this equivalent.

23. What is the rule for converting a decimal $d$ to a percent?

    Compute $d \times 100\%$. Multiplying the decimal by 100 converts it to its percentage form by shifting the decimal point two places right.

24. What is the percent equivalent of $ $\frac{2}{5}$?

    $40\%$. Multiplying the decimal equivalent 0.4 by 100 produces this percentage.

25. What is the decimal equivalent of $ $\frac{2}{5}$?

    $0.4$. Dividing 2 by 5 gives this decimal representation.

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