Fractions, Decimals, and Percents - ISEE Upper Level Quantitative Reasoning

1. What is the percent form of $\frac{3}{5}$?

   $60\%$. Dividing 3 by 5 gives 0.6, which multiplied by 100 equals 60%.

2. What is the decimal form of $\frac{1}{5}$?

   $0.2$. Dividing 1 by 5 results in 0.2 as the decimal equivalent.

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

   $\frac{1}{8}$. Converting 12.5% to $\frac{125}{1000}$ and simplifying by dividing by 125 yields $\frac{1}{8}$.

4. What is the percent form of $0.07$?

   $7\%$. Multiplying 0.07 by 100 shifts the decimal two places right to express it as a percent.

5. What is the decimal form of $\frac{3}{4}$?

   $0.75$. Dividing 3 by 4 results in 0.75 as the decimal equivalent.

6. What is the rule to convert a percent to a fraction in simplest form?

   Write $\frac{p}{100}$ and reduce. Expressing a percent as a fraction over 100 and simplifying by dividing numerator and denominator by their greatest common divisor yields the simplest form.

7. What is the percent form of $\frac{1}{8}$?

   $12.5\%$. Dividing 1 by 8 gives 0.125, which multiplied by 100 equals 12.5%.

8. What is the decimal form of $35\%$?

   $0.35$. Dividing 35 by 100 shifts the decimal two places left to convert the percent to its decimal equivalent.

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

   $\frac{1}{5}$. Expressing 0.2 as $\frac{2}{10}$ and simplifying by dividing by 2 yields $\frac{1}{5}$.

10. What is the decimal form of $12.5\%$?

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

11. What is the percent form of $\frac{1}{5}$?

    $20\%$. Dividing 1 by 5 gives 0.2, which multiplied by 100 equals 20%.

12. What is the rule to convert a fraction to a percent?

    Compute $\frac{\text{numerator}}{\text{denominator}}\times 100\%$. Dividing the numerator by the denominator gives the decimal, which is then multiplied by 100 to convert to a percent.

13. What is the fraction in simplest form for $25\%$?

    $\frac{1}{4}$. Expressing 25% as $\frac{25}{100}$ and simplifying by dividing numerator and denominator by 25 gives the simplest fraction.

14. What is the decimal form of $\frac{2}{5}$?

    $0.4$. Dividing 2 by 5 yields 0.4 as the decimal form.

15. What is the percent form of $0.125$?

    $12.5\%$. Multiplying 0.125 by 100 shifts the decimal two places right to 12.5%.

16. What is the percent form of $\frac{1}{2}$?

    $50\%$. Dividing 1 by 2 yields 0.5, which multiplied by 100 converts to 50%.

17. What is the decimal form of $\frac{1}{8}$?

    $0.125$. Dividing 1 by 8 results in the repeating decimal 0.125.

18. What is the fraction in simplest form for $40\%$?

    $\frac{2}{5}$. Expressing 40% as $\frac{40}{100}$ and simplifying by dividing by 20 gives $\frac{2}{5}$.

19. What is the rule to convert a decimal to a percent?

    Multiply by $100$ and add $\%$. Multiplying a decimal by 100 shifts the decimal point two places to the right, converting it to a percentage equivalent with the percent symbol.

20. What is the fraction in simplest form for $0.875$?

    $\frac{7}{8}$. Expressing 0.875 as $\frac{875}{1000}$ and simplifying by dividing by 125 gives $\frac{7}{8}$.

21. What is the rule to convert a percent to a decimal?

    Divide by $100$ (move the decimal $2$ places left). Dividing a percent by 100 shifts the decimal point two places left, removing the percent sign to express it as a decimal.

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

    $\frac{3}{4}$. Expressing 0.75 as $\frac{75}{100}$ and simplifying by dividing by 25 gives $\frac{3}{4}$.

23. What is the decimal form of $\frac{3}{50}$?

    $0.06$. Dividing 3 by 50 results in 0.06 as the decimal form.

24. What is the fraction in simplest form for $0.06$?

    $\frac{3}{50}$. Expressing 0.06 as $\frac{6}{100}$ and simplifying by dividing by 2 yields $\frac{3}{50}$.

25. What is the percent form of $0.4$?

    $40\%$. Multiplying 0.4 by 100 shifts the decimal to yield 40%.

Study these flashcards