Answered

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Evaluate.

−|a+b|/2−c when a=1 7/8 , b=−1 , and c=−4

Enter your answer as a simplified fraction in the box.

Sagot :

Given equation:

[tex] \frac{ - |a + b| }{2} - c[/tex]

Required solution:

a= 1 7/8 {Given}

b=-1

c=-4

Putting values;

[tex] \frac{ - | 1\frac{7}{8} + ( - 1)| }{2} - ( - 4)[/tex]

  • Convert the mixed number to an improper fraction

[tex] \frac{ - | \frac{15}{8} + ( - 1) | }{2} - ( - 4)[/tex]

  • When there is a + in front of an expression in parentheses, the expression remains the same

&

  • When there is a - in front of an expression in parentheses, change the sign of each term in the expression

[tex] \frac{ - | \frac{15}{8} - 1| }{2} + 4[/tex]

  • Calculate the difference

[tex] \frac{ - | \frac{7}{8} | }{2} + 4[/tex]

  • The absolute value of any expression is always positive or zero

[tex] \frac{ - \frac{7}{8} }{2} + 4[/tex]

  • Use [tex] \frac{ - a }{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] to rewrite the fraction

[tex] - \frac{ \frac{7}{8} }{2} + 4[/tex]

  • Simplify the complex fraction

[tex] - \frac{7}{16} + 4[/tex]

  • Calculate the sum

[tex] \frac{57}{16} [/tex]

Solved ✔︎

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