Fractions, Decimals, and Percents - SSAT Middle Level Quantitative

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

   $0.6$. Dividing 3 by 5 produces 0.6, representing three fifths.

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

   $50\%$. Multiplying $\frac{1}{2}$ by $100\%$ gives 50%, representing half as parts per hundred.

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

   $0.2$. Dividing 1 by 5 gives 0.2, which is one fifth in decimal form.

4. What is the fraction equivalent of $0.6$ in simplest form?

   $\frac{3}{5}$. Converting 0.6 to a fraction gives $\frac{6}{10}$, which simplifies to $\frac{3}{5}$ by dividing numerator and denominator by 2.

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

   Divide by $100$: $p\%=\frac{p}{100}$. Dividing the percent by 100 converts it from parts per hundred to a decimal form.

6. What is the fraction equivalent of $45\%$ in simplest form?

   $\frac{9}{20}$. Expressing 45% as $\frac{45}{100}$ simplifies to $\frac{9}{20}$ by dividing numerator and denominator by 5.

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

   $0.125$. Dividing 1 by 8 gives 0.125, equivalent to one eighth.

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

   $0.8$. Dividing 4 by 5 yields 0.8, which is four fifths in decimal form.

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

   $20\%$. Multiplying $\frac{1}{5}$ by $100\%$ yields 20%, since one fifth of 100 is 20.

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

    $40\%$. Multiplying $\frac{2}{5}$ by $100\%$ gives 40%, as two fifths of 100 is 40.

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

    $0.75$. Dividing 3 by 4 produces 0.75, representing three quarters.

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

    Multiply by $100\%$: $\frac{a}{b}=\frac{a}{b}\times 100\%$. Multiplying the fraction by $100\%$ scales it to represent parts per hundred, yielding the percentage equivalent.

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

    $0.25$. Dividing 1 by 4 yields 0.25, equivalent to one quarter.

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

    $0.5$. Dividing 1 by 2 results in 0.5, as it represents half of a whole.

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

    $80\%$. Multiplying $\frac{4}{5}$ by $100\%$ results in 80%, as four fifths of 100 is 80.

16. What is the fraction equivalent of $0.125$ in simplest form?

    $\frac{1}{8}$. Converting 0.125 to a fraction yields $\frac{125}{1000}$, which simplifies to $\frac{1}{8}$ by dividing by 125.

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

    $60\%$. Multiplying $\frac{3}{5}$ by $100\%$ equals 60%, since three fifths of 100 is 60.

18. What is the percent equivalent of $\frac{1}{8}$?

    $12.5\%$. Multiplying $\frac{1}{8}$ by $100\%$ yields 12.5%, since one eighth of 100 is 12.5.

19. What is the decimal equivalent of $35\%$?

    $0.35$. Dividing 35 by 100 shifts the decimal two places left to get 0.35.

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

    $0.4$. Dividing 2 by 5 results in 0.4, equivalent to two fifths.

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

    $75\%$. Multiplying $\frac{3}{4}$ by $100\%$ equals 75%, as three quarters of 100 is 75.

22. What is the rule to convert a decimal to a fraction in simplest form?

    Write over $10^n$, then simplify: $0.abcd=\frac{abcd}{10^n}$. Placing the decimal digits over a power of 10 creates a fraction, which is then reduced to simplest terms.

23. What is the percent equivalent of $0.07$?

    $7\%$. Multiplying 0.07 by 100 moves the decimal two places right to obtain 7%.

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

    Multiply by $100$: $d=100d\%$. Multiplying the decimal by 100 shifts the decimal point two places right to express it as a percent.

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

    $25\%$. Multiplying $\frac{1}{4}$ by $100\%$ results in 25%, as it is one quarter of 100.

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