Question

3）$3\frac{1}{2} = \underline{\quad\quad}$
6）$4\frac{3}{4} = \underline{\quad\quad}$
9）$9\frac{4}{9} = \underline{\quad\quad}$
2）$4\frac{2}{5} = \underline{\quad\quad}$
5）$7\frac{7}{10} = \underline{\quad\quad}$
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Explanation:

For \( 3\frac{1}{2} \):

Step1: Convert mixed number to improper fraction. Multiply the whole number by the denominator and add the numerator. The formula is \( a\frac{b}{c}=\frac{a\times c + b}{c} \).

For \( 3\frac{1}{2} \), \( a = 3 \), \( b = 1 \), \( c = 2 \). So \( 3\times2+1 = 7 \).

Step2: The denominator remains 2. So the improper fraction is \( \frac{7}{2} \).

Step1: Use the mixed - to - improper fraction formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). Here, \( a = 4 \), \( b = 3 \), \( c = 4 \). Calculate \( 4\times4 + 3=16 + 3 = 19 \).

Step2: The denominator is 4. So the fraction is \( \frac{19}{4} \).

Step1: Apply the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). With \( a = 9 \), \( b = 4 \), \( c = 9 \), we get \( 9\times9+4 = 81 + 4=85 \).

Step2: The denominator is 9. So the fraction is \( \frac{85}{9} \).

Answer:

\( \frac{7}{2} \)

For \( 4\frac{3}{4} \):