30+60/12-23+5*32/12+3-1+8*8

asked by guest
on Oct 22, 2024 at 2:31 am



You asked:

Evaluate the expression: \(30 + \frac{60}{12} - 23 + \frac{5 \cdot 32}{12} + 3 - 1 + 8 \cdot 8\)

MathBot Answer:

\[30 + \frac{60}{12} - 23 + \frac{5 \cdot 32}{12} + 3 - 1 + 8 \cdot 8 = \frac{274}{3} = 91.\overline{3}\]

\[\begin{aligned}30 + \frac{60}{12} - 23 + \frac{5 \cdot 32}{12} + 3 - 1 + 8 \cdot 8& = 30 + \frac{60}{12} - 23 + 5 \cdot \frac{32}{12} + 3 - 1 + 8 \cdot 8\\& = 30 + \frac{60}{12} - 23 + 5 \cdot \frac{8}{3} + 3 - 1 + 8 \cdot 8\\& = 30 + \frac{60}{12} - 23 + \frac{40}{3} + 3 - 1 + 8 \cdot 8\\& = 30 + \frac{60}{12} - 23 + \frac{40}{3} + 3 - 1 + 64\\& = 35 - 23 + \frac{40}{3} + 3 - 1 + 64\\& = 12 + \frac{40}{3} + 3 - 1 + 64\\& = \frac{76}{3} + 3 - 1 + 64\\& = \frac{85}{3} - 1 + 64\\& = \frac{82}{3} + 64\\& = \frac{274}{3}\end{aligned}\]

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