Question

Please help me with this question

Answer 1

9514 1404 393

Answer:

1/2, 3/10

1/21, 8/27

Explanation:

Fractions are multiplied by multiplying the numerators and expressing that product over the product of the denominators:

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

In several cases here, the numerator product has factors in common with the denominator product. Those can be cancelled, reducing the product fraction to lowest terms.

`(3)/(4)*(2)/(3)=(3\cdot2)/(4\cdot3)=(3\cdot2)/(3\cdot2\cdot2)=\boxed{(1)/(2)}\\\\(4)/(5)*(3)/(8)=(4\cdot3)/(5\cdot8)=(4\cdot3)/(4\cdot2\cdot5)=\boxed{(3)/(10)}\\\\(1)/(6)*(2)/(7)=(1\cdot2)/(6\cdot7)=(2)/(2\cdot3\cdot7)=\boxed{(1)/(21)}\\\\(4)/(9)*(2)/(3)=(4\cdot2)/(9\cdot3)=\boxed{(8)/(27)}`