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garri49 [273]
3 years ago
8

Can somebody give me a Quick answer. First person gets Brainliest.

Mathematics
2 answers:
Evgen [1.6K]3 years ago
4 0

Answer:D

Step-by-step explanation:

Doss [256]3 years ago
3 0

Answer:

D. -4½

Step-by-step explanation:

Remember PEMDAS:

Parentheses

Exponents

Multiply and Divide (in any order)

Add and Subtract (in any order)

\begin{array}{rl}& \dfrac{3}{4}\left(\dfrac{2}{3} + \dfrac{4}{3} \right ) - 9 \div\dfrac{1}{2} \times\dfrac{1}{3} \\\\\text{Do the addition inside parentheses} &\dfrac{3}{4}\left(\dfrac{6}{3} \right ) - 9 \div\dfrac{1}{2} \times\dfrac{1}{3} \\ \\\text{Simplify the new fraction} &\dfrac{3}{4}(2) - 9 \div\dfrac{1}{2} \times\dfrac{1}{3} \\ \\\text{Multiply} &\dfrac{3}{2} - 9 \div\dfrac{1}{2} \times\dfrac{1}{3} \\\\\end{array}

\begin{array}{rl}\text{Invert the fraction and change divide to multiply} &\dfrac{3}{2} - 9 \times 2 \times\dfrac{1}{3} \\\\\text{Cancel the threes} &\dfrac{3}{2} - 3 \times 2\\\\\text{Multiply} &\dfrac{3}{2} - 6 \\\\\text{Find lowest common denominator } &\dfrac{3}{2} - \dfrac{12}{2} \\\\\text{Add the numerators} &\dfrac{-9}{2} \\\\\text{Convert to a mixed number} &=\mathbf{-4\frac{1}{2}} \\\\\end{array}

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