Question

$$a- \frac{ a }{ 3 } + \frac{ a }{ 5 } =26$$

Answer

a=30

Solution


Simplify  \(a-\frac{a}{3}+\frac{a}{5}\)  to  \(\frac{13a}{15}\).
\[\frac{13a}{15}=26\]
Multiply both sides by \(15\).
\[13a=26\times 15\]
Simplify  \(26\times 15\)  to  \(390\).
\[13a=390\]
Divide both sides by \(13\).
\[a=\frac{390}{13}\]
Simplify  \(\frac{390}{13}\)  to  \(30\).
\[a=30\]