queenkay2172
queenkay2172 queenkay2172
  • 09-10-2021
  • Mathematics
contestada

Evaluate the expression when a=2/3 and c= -2/7
-4c-a
Write your answer in simplest form.

Respuesta :

jimrgrant1 jimrgrant1
  • 09-10-2021

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

- 4c - a

= - 4 × - [tex]\frac{2}{7}[/tex] - [tex]\frac{2}{3}[/tex]

= [tex]\frac{8}{7}[/tex] - [tex]\frac{2}{3}[/tex] ( the LCM of 7 and 3 is 21 ) , then

= [tex]\frac{8(3)}{7(3)}[/tex] - [tex]\frac{2(7)}{3(7)}[/tex]

= [tex]\frac{24}{21}[/tex] - [tex]\frac{14}{21}[/tex]

= [tex]\frac{24-14}{21}[/tex]

= [tex]\frac{10}{21}[/tex]

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