3(9)-18/-7(27)+5(9)

asked by guest
on Nov 18, 2024 at 6:43 am



You asked:

Evaluate the expression: \(3 \cdot 9 - \frac{18}{-\left( 7 \cdot 27 \right)} + 5 \cdot 9\)

MathBot Answer:

\[3 \cdot 9 - \frac{18}{-\left( 7 \cdot 27 \right)} + 5 \cdot 9 = \frac{1514}{21} = 72.\overline{095238}\]

\[\begin{aligned}3 \cdot 9 - \frac{18}{-\left( 7 \cdot 27 \right)} + 5 \cdot 9& = 3 \cdot 9 - 18 \cdot \frac{1}{- 7 \cdot 27} + 5 \cdot 9\\& = 27 - 18 \cdot \frac{1}{- 7 \cdot 27} + 5 \cdot 9\\& = 27 - 18 \cdot \frac{1}{- 189} + 5 \cdot 9\\& = 27 - \frac{18}{-189} + 5 \cdot 9\\& = 27 - - \frac{2}{21} + 5 \cdot 9\\& = 27 + \frac{2}{21} + 5 \cdot 9\\& = 27 + \frac{2}{21} + 45\\& = \frac{569}{21} + 45\\& = \frac{1514}{21}\end{aligned}\]

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