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Evaluate the expression: (36 - 8 4 - 15 / -3) / (3 -3 + -8(6 - 2))

Mathematics

ScanSolve AI Answer

Answer

−941-\frac{9}{41}

Step-by-step solution

3 steps

To evaluate the expression, we will simplify the numerator and the denominator separately using the order of operations (PEMDAS/BODMAS).

The expression is:

36−8×4−15÷−33×−3+−8(6−(2))\frac{36 - 8 \times 4 - 15 \div -3}{3 \times -3 + -8(6 - (2))}
  1. Simplify the numerator.

    36−8×4−15÷−336 - 8 \times 4 - 15 \div -3

    Perform multiplication and division from left to right:

    36−(8×4)−(15÷−3)36 - (8 \times 4) - (15 \div -3) 36−32−(−5)36 - 32 - (-5)

    Now perform subtraction from left to right:

    (36−32)−(−5)(36 - 32) - (-5) 4−(−5)4 - (-5) 4+54 + 5 99

    So, the numerator is 9.

  2. Simplify the denominator.

    3×−3+−8(6−(2))3 \times -3 + -8(6 - (2))

    Perform operations inside the parentheses first:

    3×−3+−8(6−2)3 \times -3 + -8(6 - 2) 3×−3+−8(4)3 \times -3 + -8(4)

    Now perform multiplication from left to right:

    (3×−3)+(−8×4)(3 \times -3) + (-8 \times 4) −9+(−32)-9 + (-32)

    Perform addition:

    −9−32-9 - 32 −41-41

    So, the denominator is −41-41.

  3. Divide the simplified numerator by the simplified denominator.

    9−41\frac{9}{-41} −941-\frac{9}{41}
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