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Sagot :
The expression is
[tex]v-\frac{4}{5}=8\frac{1}{2}[/tex]To solve for v, you have to isolate the variable in one side of the equal sign. To pass "-4/5" to the right side you have to perform the inverse operation to both sides of the expression:
[tex]\begin{gathered} v-\frac{4}{5}+\frac{4}{5}=8\frac{1}{2}+\frac{4}{5} \\ v=8\frac{1}{2}+\frac{4}{5} \end{gathered}[/tex]Next is to add both fractions.
First write the mixed fraction as an improper fraction
[tex]8\frac{1}{2}=\frac{16}{2}+\frac{1}{2}=\frac{17}{2}[/tex]Next find the common denominator between both fractions. For 2 and 5, the common denominator is 10.
So multiply the first fraction by 5 (both numerator and denominator) and the second fraction by 2, this way both will be expressed with the same denominator.
[tex]\begin{gathered} v=\frac{17\cdot5}{2\cdot5}+\frac{4\cdot2}{5\cdot2} \\ v=\frac{85}{10}+\frac{8}{10}=\frac{85+8}{10} \\ v=\frac{93}{10} \end{gathered}[/tex]
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