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Evaluate the expression: (-12 / -3) 4 - (-20) / (-6 6 / 3 + (-6))

Mathematics

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Answer

-2

Step-by-step solution

3 steps

Huu hapa ni ufumbuzi wa swali lako:

  1. Tathmini nambari (numerator) kwanza, ukifuata utaratibu wa shughuli (BODMAS/PEMDAS).

    Nambari ni: −12÷(−3)×4−(−20)-12 \div (-3) \times 4 - (-20)
    Kwanza, fanya mgawanyiko:

    −12÷(−3)=4-12 \div (-3) = 4

    Kisha, fanya kuzidisha:

    4×4=164 \times 4 = 16

    Mwisho, fanya kutoa:

    16−(−20)=16+20=3616 - (-20) = 16 + 20 = 36

    Hivyo, nambari ni 36.

  2. Tathmini denominata (denominator) kisha, ukifuata utaratibu wa shughuli.

    Denominata ni: −6×6÷3+(−6)-6 \times 6 \div 3 + (-6)
    Kwanza, fanya kuzidisha:

    −6×6=−36-6 \times 6 = -36

    Kisha, fanya mgawanyiko:

    −36÷3=−12-36 \div 3 = -12

    Mwisho, fanya kujumlisha:

    −12+(−6)=−12−6=−18-12 + (-6) = -12 - 6 = -18

    Hivyo, denominata ni −18-18.

  3. Gawanya nambari kwa denominata.

    36−18=−2\frac{36}{-18} = -2

    Thamani ya usemi ni: −2-2

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