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

Respuesta :

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Answer:

A. negative six and thirty-three fortieths

Step-by-step explanation:

[tex]2\frac{5}{8} *-2\frac{3}{5} \\[/tex]

rewrite the mix numbers into a improper fractions

[tex]2\frac{5}{8} = \frac{(2*8)+5}{8} = \frac{16+5}{8} = \frac{21}{8}[/tex]

[tex]-2\frac{3}{5} = -\frac{(2*5)+3}{5} = -\frac{10+3}{5} = \frac{-13}{5}[/tex]

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

[tex]\frac{21}{8} *\frac{-13}{5} = \frac{21*-13}{8*5} =\frac{-273}{40}[/tex]

rewrite this improper fraction as a mix number

[tex]-\frac{273}{40} = \frac{(6*40)+33}{40} = -6\frac{33}{40}[/tex]

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