3(4)+3 /24-(7+3) + 2(6+4)/24-7+3

asked by guest
on Sep 18, 2024 at 6:53 pm



You asked:

Evaluate the expression: \(3 \cdot 4 + \frac{3}{24} - \left(7 + 3\right) + \frac{2 \cdot \left(6 + 4\right)}{24} - 7 + 3\)

MathBot Answer:

\[3 \cdot 4 + \frac{3}{24} - \left(7 + 3\right) + \frac{2 \cdot \left(6 + 4\right)}{24} - 7 + 3 = - \frac{25}{24} = -1.041\overline{6}\]

\[\begin{aligned}3 \cdot 4 + \frac{3}{24} - \left(7 + 3\right) + \frac{2 \cdot \left(6 + 4\right)}{24} - 7 + 3& = 3 \cdot 4 + \frac{3}{24} - \left(7 + 3\right) + 2 \cdot \left(6 + 4\right) \cdot \frac{1}{24} - 7 + 3\\& = 12 + \frac{3}{24} - \left(7 + 3\right) + 2 \cdot \left(6 + 4\right) \cdot \frac{1}{24} - 7 + 3\\& = 12 + \frac{3}{24} - 10 + 2 \cdot \left(6 + 4\right) \cdot \frac{1}{24} - 7 + 3\\& = 12 + \frac{3}{24} - 10 + 2 \cdot \frac{10}{24} - 7 + 3\\& = 12 + \frac{3}{24} - 10 + 2 \cdot \frac{5}{12} - 7 + 3\\& = 12 + \frac{3}{24} - 10 + \frac{5}{6} - 7 + 3\\& = \frac{97}{8} - 10 + \frac{5}{6} - 7 + 3\\& = \frac{17}{8} + \frac{5}{6} - 7 + 3\\& = \frac{71}{24} - 7 + 3\\& = - \frac{97}{24} + 3\\& = - \frac{25}{24}\end{aligned}\]

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