Question

40 POINT Multiply two and five-eighths negative two and three-fifths .

A negative six and thirty-three fortieths
B negative four and three-eighths
C four and three-eighths
D six and thirty-three fortieths

Answer 1

A. negative six and thirty-three fortieths

Explanation:

`2(5)/(8) *-2(3)/(5) \\`

rewrite the mix numbers into a improper fractions

`2(5)/(8) = ((2*8)+5)/(8) = (16+5)/(8) = (21)/(8)`

`-2(3)/(5) = -((2*5)+3)/(5) = -(10+3)/(5) = (-13)/(5)`

multiply the improper fractions after rule (a/b) *(c/d) = (a*b)/(c*d)

`(21)/(8) *(-13)/(5) = (21*-13)/(8*5) =(-273)/(40)`

rewrite this improper fraction as a mix number

`-(273)/(40) = ((6*40)+33)/(40) = -6(33)/(40)`