Question

Multiply. Express your answer in simplest form 3 3/4 x 2 2/9

Answer 1

25/3

Explanation:

Let's convert the fractions first

`3(3)/(4) = (3 +(3*4))/(4) =(15)/(4)`

`2(2)/(9) =(2+(2*9))/(9) =(20)/(9)`

Now we solve

`(15)/(4) * (20)/(9)` =
`(15 * 20)/(4 * 9)`

End result

`(300)/(36)`

Simplifying this

Common factor of 300 and 36 is 12

Therefore

300 / 12 = 25

36 / 12 = 3

The fraction simplfied is
`(25)/(3)`

Answer 2

25/3

Explanation:

To solve this kind of question we will have to convert them to an improper fraction

3 3/4×2 2/9

So the improper fraction will be

15/4×20/9

We discovered that 3 divide both 15 and 9 to give

5/4×20/3

4 also divide both 4 and 20 to give

5/1×5/3

Which will also give

25/3

Therefore the final answer is 25/3