\frac{200}{26-1}-\frac{150}{26-1}
You asked:
Evaluate the expression: \(\frac{200}{26 - 1} - \frac{150}{26 - 1}\)
MathBot Answer:
\[\frac{200}{26 - 1} - \frac{150}{26 - 1} = 2\]
\[\begin{aligned}\frac{200}{26 - 1} - \frac{150}{26 - 1}& = 200 \cdot \frac{1}{26 - 1} - 150 \cdot \frac{1}{26 - 1}\\& = \frac{200}{25} - 150 \cdot \frac{1}{26 - 1}\\& = 8 - 150 \cdot \frac{1}{26 - 1}\\& = 8 - \frac{150}{25}\\& = 8 - 6\\& = 2\end{aligned}\]