Question

Product of a fraction and a whole number: Problem type 2Multiply. Write your answer as a fraction in simplest form.2x91508Х6?

Answer 1

Step 1. The multiplication we have is:

`(2)/(15)*9`

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:

`9=(9)/(1)`

And thus, the expression now is:

`(2)/(15)*(9)/(1)`

Step 2. To multiply the two fractions, we use the following rule:

`(a)/(b)*(c)/(d)=(a* c)/(b* d)`

Applying this rule to our multiplication:

`(2)/(15)*(9)/(1)=(2*9)/(15*1)`

Solving the multiplications:

`(2)/(15)*(9)/(1)=(18)/(15)`

Step 3. Simplify the result.

The result is:

`(18)/(15)`

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:

`(6)/(5)`

Answer:

`(6)/(5)`