Step 1. The multiplication we have is:
[tex]\frac{2}{15}\times9[/tex]
This is a multiplication between a fraction and a whole number. To make the multiplication, the first step is to convert the whole number into a fraction:
[tex]9=\frac{9}{1}[/tex]
And thus, the expression now is:
[tex]\frac{2}{15}\times\frac{9}{1}[/tex]
Step 2. To multiply the two fractions, we use the following rule:
[tex]\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}[/tex]
Applying this rule to our multiplication:
[tex]\frac{2}{15}\times\frac{9}{1}=\frac{2\times9}{15\times1}[/tex]
Solving the multiplications:
[tex]\frac{2}{15}\times\frac{9}{1}=\frac{18}{15}[/tex]
Step 3. Simplify the result.
The result is:
[tex]\frac{18}{15}[/tex]
But we can still simplify the result since both numbers are multiples of 3, we divide both numbers by 3.
18/3=6 and 15/3=5, thus, the simplified expression is:
[tex]\frac{6}{5}[/tex]
Answer:
[tex]\frac{6}{5}[/tex]
