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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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