Question

Mutiply in rational number​

Answer 1

49/120

Explanation:

see image.

Simplify first. Then get a common denominator, this is 120 in this case. 120 is the smallest number that all the denominators (3 and 8 and 10) go into. To add fractions, add all the top numbers (numerators). Keep the same denominator. see image.

Answer 2

`(-23)/(120)`

Explanation:

`((3)/(5)*(-10)/(9))+((-4)/(5)*(1)/(-8))-((2)/(5)*(-15)/(16))\\\\((1)/(1)*(-2)/(3))+((-1)/(5)*(1)/(-2))-((1)/(1)*(-3)/(8))\\\\(-2)/(3) +(1)/(10) -(-3)/(8)\\\\(-2)/(3) +(1)/(10) +(3)/(8)\\\\(-80)/(120) +(12)/(120) +(45)/(120)\\\\(-68)/(120) +(45)/(120)\\\\(-23)/(120)`

Hope this helps!