The solution to 3/2 (-4)+4 is -2

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3/2 (-4)+4

Solution

\frac{3}{2} (- 4) + 4

- 2

Solution steps

\frac{3}{2} (- 4) + 4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{2} (- 4) : - 6

\frac{3}{2} (- 4)

Apply rule

a \cdot (- b) = - a \cdot b

\frac{3}{2} (- 4) = - \frac{3}{2} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= - \frac{3}{2} \cdot \frac{4}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{3}{2} \cdot \frac{4}{1} = \frac{3 \cdot 4}{2 \cdot 1}

= - \frac{3 \cdot 4}{2 \cdot 1}

Cancel

\frac{3 \cdot 4}{2 \cdot 1} : 6

\frac{3 \cdot 4}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3 \cdot 4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

= - 6

= - 6 + 4

Add and subtract (left to right)

- 6 + 4 : - 2

- 6 + 4

- 6 + 4 = - 2

= - 2

= - 2

48/2 (9 + 3)

(3 - 5)^{2} + 4 (3 - 1) - 3 (1 + 1)^{2} (2) + 2 (3) (2)

- 9 (- 1)^{2}

2 \cdot 1 - 5

3 (7)^{2} - 30 (7) + 72