Respuesta :

Answer:

25/3

Step-by-step 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

Answer:

25/3

Step-by-step explanation:

Let's convert the fractions first

[tex]3\frac{3}{4} = \frac{3 +(3*4)}{4} =\frac{15}{4}[/tex]

[tex]2\frac{2}{9} =\frac{2+(2*9)}{9} =\frac{20}{9}[/tex]

Now we solve

[tex]\frac{15}{4} * \frac{20}{9}[/tex] = [tex]\frac{15 * 20}{4 * 9}[/tex]

End result

[tex]\frac{300}{36}[/tex]

Simplifying this

Common factor of 300 and 36 is 12

Therefore

300 / 12 = 25

36 / 12 = 3

The fraction simplfied is [tex]\frac{25}{3}[/tex]