Question

Evaluate.

Answer 1

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Answer 2

Given equation:

$\frac{ - |a + b| }{2} - c$

Required solution:

a= 1 7/8 {Given}

b=-1

c=-4

Putting values;

$\frac{ - | 1\frac{7}{8} + ( - 1)| }{2} - ( - 4)$

• Convert the mixed number to an improper fraction

$\frac{ - | \frac{15}{8} + ( - 1) | }{2} - ( - 4)$

• 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

$\frac{ - | \frac{15}{8} - 1| }{2} + 4$

• Calculate the difference

$\frac{ - | \frac{7}{8} | }{2} + 4$

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

$\frac{ - \frac{7}{8} }{2} + 4$

• Use $\frac{ - a }{b} = \frac{a}{ - b} = - \frac{a}{b}$ to rewrite the fraction

$- \frac{ \frac{7}{8} }{2} + 4$

• Simplify the complex fraction

$- \frac{7}{16} + 4$

• Calculate the sum

$\frac{57}{16}$

Solved ✔︎