Answer:
[tex]-\frac{8}{45}[/tex]
Step-by-step explanation:
So when multiplying fractions, you would multiply the numerator of the first fraction by the numerator of the second fraction and make that product the numerator of the resulting fraction and multiply the denominator of the first fraction by the denominator of the second fraction and make that product the denominator of the resulting fraction. In other words:
[tex]\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}[/tex]
So lets multiply the two fraction together:
[tex]\frac{4}{5}*(-\frac{2}{9})==-(\frac{4*2}{5*9})=-\frac{8}{45}[/tex]
So now we found the product. Now we have to try to try to simplify the fraction. To do this, we must find the GCF of the numerator, 8, and the denominator, 45.
Factors of 8: 1, 2, 4, 8
Factors of 45, 1, 3, 5, 9, 15, 45
As we can see, the GCF of 8 and 45 are 1. The fraction is simplified as much as possible.
I hope you find my answer and explanation to be helpful. Happy studying. :)
