Question

1. $2\frac{1}{2} \times 3\frac{4}{5} =$
2. $3\frac{3}{4} \times 3\frac{2}{9} =$

Explanation:

Step1: Convert mixed numbers to improper fractions

For $2\frac{1}{2}$: $2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$
For $3\frac{4}{5}$: $3\frac{4}{5}=\frac{3\times5 + 4}{5}=\frac{19}{5}$
For $3\frac{3}{4}$: $3\frac{3}{4}=\frac{3\times4 + 3}{4}=\frac{15}{4}$
For $3\frac{2}{9}$: $3\frac{2}{9}=\frac{3\times9 + 2}{9}=\frac{29}{9}$

Step2: Multiply the fractions (Q3)

Multiply numerators and denominators:
$\frac{5}{2} \times \frac{19}{5} = \frac{5\times19}{2\times5}$

Step3: Simplify (Q3)

Cancel common factor 5:
$\frac{19}{2} = 9\frac{1}{2}$

Step4: Multiply the fractions (Q5)

Multiply numerators and denominators:
$\frac{15}{4} \times \frac{29}{9} = \frac{15\times29}{4\times9}$

Step5: Simplify (Q5)

Cancel common factor 3:
$\frac{5\times29}{4\times3} = \frac{145}{12} = 12\frac{1}{12}$

Answer:

1. $9\frac{1}{2}$ (or $\frac{19}{2}$)
2. $12\frac{1}{12}$ (or $\frac{145}{12}$)