Mixed-Number Problems - ISEE Upper Level Mathematics Achievement

1. What is $3\frac{3}{4}\div 1\frac{1}{2}$?

   $2\frac{1}{2}$. Divide mixed numbers by converting to improper fractions, multiplying by reciprocal, and converting to mixed form.

2. What is the mixed number form of $\frac{23}{4}$?

   $5\frac{3}{4}$. Convert improper fraction to mixed number by dividing numerator by denominator to get whole number and remainder over denominator.

3. What is $2\frac{1}{2}$ as a percent?

   $250\%$. Convert mixed number to percent by changing to decimal and multiplying by 100.

4. What is $6\frac{3}{5}$ written as a decimal?

   $6.6$. Convert mixed number to decimal by adding whole number to the result of numerator divided by denominator.

5. What is $1\frac{3}{4}\times 2\frac{2}{3}$?

   $4\frac{2}{3}$. Multiply mixed numbers by converting to improper fractions, multiplying, simplifying, and converting back to mixed number.

6. What is $1\frac{1}{5}\times \frac{5}{6}$?

   $1$. Multiply mixed number by fraction by converting to improper, multiplying, and simplifying to whole number.

7. What is $4\frac{3}{8}-1\frac{5}{8}$?

   $2\frac{3}{4}$. Subtract mixed numbers by converting to improper fractions with common denominator, subtracting, and converting back to mixed form.

8. What is $2\frac{1}{2}\times 1\frac{1}{3}$?

   $3\frac{1}{3}$. Multiply mixed numbers by converting to improper fractions, multiplying numerators and denominators, then converting to mixed form.

9. What is $5\frac{1}{6}-2\frac{3}{4}$?

   $2\frac{5}{12}$. Subtract mixed numbers by converting to improper fractions with common denominator, subtracting, and converting to mixed form.

10. What is $3\frac{3}{5}\div 1\frac{4}{5}$?

    $2$. Divide mixed numbers by converting to improper fractions, multiplying by reciprocal, and simplifying to whole number.

11. What is the reciprocal of $2\frac{1}{3}$?

    $\frac{3}{7}$. Find reciprocal of mixed number by converting to improper fraction and swapping numerator and denominator.

12. What is $1\frac{3}{4}$ written as a percent?

    $175\%$. Convert mixed number to percent by first changing to decimal and multiplying by 100.

13. What is $1\frac{2}{5}+\frac{3}{10}$?

    $1\frac{7}{10}$. Add mixed number and fraction by converting to improper fractions with common denominator, adding, and converting to mixed form.

14. What is the improper fraction form of $3\frac{2}{5}$?

    $\frac{17}{5}$. Convert mixed number to improper fraction by multiplying whole number by denominator and adding numerator over the same denominator.

15. What is $2\frac{1}{3}+1\frac{1}{6}$?

    $3\frac{1}{2}$. Add mixed numbers by converting to improper fractions, finding a common denominator, adding, and converting back to mixed form.

16. What is $2\frac{5}{6}+\frac{1}{3}$?

    $3\frac{1}{6}$. Add mixed number and fraction by converting to improper with common denominator, adding, and converting to mixed.

17. What is $\frac{7}{3}$ as a mixed number in simplest form?

    $2\frac{1}{3}$. Convert improper fraction to mixed number by dividing numerator by denominator for whole part and remainder over denominator.

18. What is $2\frac{3}{4}$ written as a decimal?

    $2.75$. Convert mixed number to decimal by dividing numerator by denominator and adding to the whole number.

19. What is $1\frac{1}{2}+2\frac{2}{3}$?

    $4\frac{1}{6}$. Add mixed numbers by converting to improper fractions, using common denominator, adding, and converting back.

20. What is $4\frac{2}{9}-\frac{5}{9}$?

    $3\frac{2}{3}$. Subtract fraction from mixed number by converting to improper fractions, subtracting, simplifying, and converting to mixed.

21. What is $3\frac{1}{8}$ written as a decimal?

    $3.125$. Convert mixed number to decimal by adding whole number to the decimal value of the fraction.

22. What is $5\frac{1}{2}$ simplified as a decimal?

    $5.5$. Convert mixed number to decimal by adding whole number to the decimal equivalent of the fractional part.

23. What is $3\frac{1}{4}-\frac{5}{8}$?

    $2\frac{5}{8}$. Subtract fraction from mixed number by converting to improper fractions with common denominator, subtracting, and converting back.

24. What is $2\frac{1}{4}\div \frac{3}{2}$?

    $1\frac{1}{2}$. Divide mixed number by fraction by converting to improper, multiplying by reciprocal, and converting to mixed form.

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