Question

5）$4\frac{3}{4} = \underline{\quad\quad}$
8）$2\frac{1}{2} = \underline{\quad\quad}$
11）$8\frac{1}{7} = \underline{\quad\quad}$
14）$4\frac{1}{7} = \underline{\quad\quad}$

Explanation:

To solve these problems, we need to convert mixed numbers to improper fractions. The formula for converting a mixed number \( a\frac{b}{c} \) to an improper fraction is \( \frac{a \times c + b}{c} \).

Problem 5: \( 4\frac{3}{4} \)

Step 1: Identify \( a \), \( b \), and \( c \)

Here, \( a = 4 \), \( b = 3 \), and \( c = 4 \).

Step 2: Apply the formula

$$ \frac{4 \times 4 + 3}{4} = \frac{16 + 3}{4} = \frac{19}{4} $$

Problem 8: \( 2\frac{1}{2} \)

Step 1: Identify \( a \), \( b \), and \( c \)

Here, \( a = 2 \), \( b = 1 \), and \( c = 2 \).

Step 2: Apply the formula

$$ \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2} $$

Problem 11: \( 8\frac{1}{7} \)

Step 1: Identify \( a \), \( b \), and \( c \)

Here, \( a = 8 \), \( b = 1 \), and \( c = 7 \).

Step 2: Apply the formula

$$ \frac{8 \times 7 + 1}{7} = \frac{56 + 1}{7} = \frac{57}{7} $$

Problem 14: \( 4\frac{1}{7} \)

Step 1: Identify \( a \), \( b \), and \( c \)

Here, \( a = 4 \), \( b = 1 \), and \( c = 7 \).

Step 2: Apply the formula

$$ \frac{4 \times 7 + 1}{7} = \frac{28 + 1}{7} = \frac{29}{7} $$

Answer:

s:

1. \(\frac{19}{4}\)
2. \(\frac{5}{2}\)
3. \(\frac{57}{7}\)
4. \(\frac{29}{7}\)