Solved examples: Visual conversion of mixed numbers to improper fractions.

📚 Quick Study Guide

• 🔢 A mixed number has a whole number part and a fractional part (e.g., $2\frac{1}{3}$).
• 🔄 An improper fraction has a numerator larger than or equal to its denominator (e.g., $\frac{7}{3}$).
• ✏️ Conversion Formula: To convert a mixed number $a\frac{b}{c}$ to an improper fraction, use the formula: $\frac{(a \times c) + b}{c}$.
• 🧮 Example: Convert $3\frac{1}{4}$ to an improper fraction: $\frac{(3 \times 4) + 1}{4} = \frac{13}{4}$.
• 💡 Tip: Always keep the same denominator when converting.

📝 Practice Quiz

1. What is the improper fraction equivalent of $2\frac{1}{2}$?
   1. $\frac{3}{2}$
   2. $\frac{4}{2}$
   3. $\frac{5}{2}$
   4. $\frac{6}{2}$
2. Convert $1\frac{2}{3}$ to an improper fraction.
   1. $\frac{3}{3}$
   2. $\frac{4}{3}$
   3. $\frac{5}{3}$
   4. $\frac{6}{3}$
3. $4\frac{3}{5}$ is equal to which improper fraction?
   1. $\frac{17}{5}$
   2. $\frac{19}{5}$
   3. $\frac{23}{5}$
   4. $\frac{26}{5}$
4. What improper fraction represents $5\frac{1}{4}$?
   1. $\frac{19}{4}$
   2. $\frac{20}{4}$
   3. $\frac{21}{4}$
   4. $\frac{22}{4}$
5. Change $2\frac{3}{8}$ into an improper fraction.
   1. $\frac{16}{8}$
   2. $\frac{17}{8}$
   3. $\frac{18}{8}$
   4. $\frac{19}{8}$
6. Which improper fraction is equivalent to $3\frac{5}{6}$?
   1. $\frac{21}{6}$
   2. $\frac{22}{6}$
   3. $\frac{23}{6}$
   4. $\frac{24}{6}$
7. Convert $6\frac{2}{7}$ to an improper fraction.
   1. $\frac{40}{7}$
   2. $\frac{42}{7}$
   3. $\frac{44}{7}$
   4. $\frac{46}{7}$