Converting Improper Fractions to Mixed Numbers

Vocabulary and worked-example practice flashcards covering the improper fraction division and mixed number conversion problems from the notebook page.

Improper Fraction to Mixed Number Conversion

The mathematical process shown in the exercises where an improper fraction is converted by dividing the numerator by the denominator to yield a whole-number quotient and a remainder, written as $\text{quotient}\frac{\text{remainder}}{\text{divisor}}$.

Problem A ($\frac{3}{2}$)

Evaluated by division as $3 \div 2 = 1\text{ r }1$, resulting in the mixed number $1\frac{1}{2}$.

Problem B ($\frac{7}{3}$)

Evaluated by division as $7 \div 3 = 2\text{ r }1$, resulting in the mixed number $2\frac{1}{3}$.

Problem C ($\frac{13}{4}$)

Evaluated by division as $13 \div 4 = 3\text{ r }1$, resulting in the mixed number $3\frac{1}{4}$.

Problem D ($\frac{17}{5}$)

Evaluated by division as $17 \div 5 = 3\text{ r }2$, resulting in the mixed number $3\frac{2}{5}$.

Problem E ($\frac{29}{6}$)

Evaluated by division as $29 \div 6 = 4\text{ r }5$, resulting in the mixed number $4\frac{5}{6}$.

Problem F ($\frac{22}{7}$)

Evaluated by division as $22 \div 7 = 3\text{ r }1$, resulting in the mixed number $3\frac{1}{7}$.

Problem G ($\frac{35}{8}$)

Evaluated by division as $35 \div 8 = 4\text{ r }3$, resulting in the mixed number $4\frac{3}{8}$.

Problem H ($\frac{49}{9}$)

Evaluated by division as $49 \div 9 = 5\text{ r }4$, resulting in the mixed number $5\frac{4}{9}$.

Problem I ($\frac{63}{11}$)

Expressed as the division problem $63 \div 11$.

Problem J ($\frac{89}{12}$)

Expressed as the division problem $89 \div 12$.

Problem K ($-\frac{111}{25}$)

Expressed as the division problem $-111 \div 25$.