1-6(261)÷7-(7²-1)

asked by guest
on Nov 16, 2024 at 2:27 am



You asked:

Evaluate the expression: \(1 - \frac{6 \cdot 261}{7} - \left({7}^{2} - 1\right)\)

MathBot Answer:

\[1 - \frac{6 \cdot 261}{7} - \left({7}^{2} - 1\right) = - \frac{1895}{7} = -270.\overline{714285}\]


\[\begin{aligned}1 - \frac{6 \cdot 261}{7} - \left({7}^{2} - 1\right)& = 1 - 6 \cdot \frac{261}{7} - \left(7^{2} - 1\right)\\& = 1 - \frac{1566}{7} - \left(7^{2} - 1\right)\\& = 1 - \frac{1566}{7} - \left(49 - 1\right)\\& = 1 - \frac{1566}{7} - 48\\& = - \frac{1559}{7} - 48\\& = - \frac{1895}{7}\end{aligned}\]