Let's solve Question 1 from the image.

Converting Mixed Numbers to Improper Fractions

The task is to convert each mixed number into an improper fraction.

1. $2 \frac{7}{9}$

   • Multiply the whole number (2) by the denominator (9): $2 \times 9 = 18$.
   • Add the numerator (7): $18 + 7 = 25$.
   • So, $2 \frac{7}{9} = \frac{25}{9}$.

2. $3 \frac{1}{5}$

   • Multiply the whole number (3) by the denominator (5): $3 \times 5 = 15$.
   • Add the numerator (1): $15 + 1 = 16$.
   • So, $3 \frac{1}{5} = \frac{16}{5}$.

3. $1 \frac{4}{8}$

   • Multiply the whole number (1) by the denominator (8): $1 \times 8 = 8$.
   • Add the numerator (4): $8 + 4 = 12$.
   • So, $1 \frac{4}{8} = \frac{12}{8}$.
   • Simplify $\frac{12}{8}$ to $\frac{3}{2}$.

4. $4 \frac{3}{5}$

   • Multiply the whole number (4) by the denominator (5): $4 \times 5 = 20$.
   • Add the numerator (3): $20 + 3 = 23$.
   • So, $4 \frac{3}{5} = \frac{23}{5}$.

These are the improper fractions corresponding to the mixed numbers.

Do you need further explanation on any step, or do you have any other questions?

Related Questions:

1. How can you convert improper fractions back to mixed numbers?
2. What are the benefits of simplifying fractions?
3. Can mixed numbers always be converted into improper fractions?
4. How does multiplication of the whole number by the denominator help in converting mixed numbers?
5. What is the significance of improper fractions in mathematical calculations?

Tip:

Always double-check your multiplication and addition steps when converting mixed numbers to improper fractions to avoid small mistakes that can lead to incorrect answers.