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Sagot :
First we need to rewrite the mixed number (7 ?/15) on the right of the equation as a fraction, we can do it like this:
1. multiply the whole number part (7) by the fraction's denominator
7 * 15 = 105
2. Add that to the numerator (?)
105 + ?
3. write the result on top of the denominator
(105 + ?)/ 15
Now that we converted the mixed number on the right side, we can rewrite the equation like this:
8/11 = (105 + ?)/ 15
From this expression, we can solve for ? by following these steps:
1. multiply both sides of the equation by 15:
[tex]\begin{gathered} \frac{8}{11}\times15=\frac{(105+?)}{15}\times15 \\ \frac{8\times15}{11}=(105+?)\times\frac{15}{15} \\ \frac{120}{11}=(105+?)\times1 \\ \frac{120}{11}=105+? \end{gathered}[/tex]2. Subtract 105 on both sides:
[tex]\begin{gathered} \frac{120}{11}=105+? \\ \frac{120}{11}-105=105-105+? \\ \frac{120}{11}-105=0+? \\ \frac{120}{11}-105=? \end{gathered}[/tex]3. Solve the subtraction on the left side by multiplying and dividing 105 by 11:
[tex]\begin{gathered} \frac{120}{11}-\frac{105\times11}{11}=? \\ \frac{120}{11}-\frac{1155}{11}=? \\ ?=\frac{120-1155}{11} \\ ?=\frac{-1035}{11} \end{gathered}[/tex]Then, ? is:
[tex]-\frac{1035}{11}=-94\frac{1}{11}[/tex]
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