What is (3\times (-2/3)+12)/2 ?

The solution to (3\times (-2/3)+12)/2 is 5

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(3\times (-2/3)+12)/2

\frac{3 \cdot ( - \frac{2}{3} ) + 12}{2}

5

Solution steps

\frac{3 ( - \frac{2}{3} ) + 12}{2}

Solve

3 \cdot (- \frac{2}{3}) + 12 : 10

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

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

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

Convert element to fraction:

3 = \frac{3}{1}

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

Cross-cancel common factor:

3

= - \frac{2}{1}

Divide the numbers:

\frac{2}{1} = 2

= - 2

= - 2 + 12

Add and subtract (left to right)

- 2 + 12 : 10

- 2 + 12

- 2 + 12 = 10

= 10

= 10

= \frac{10}{2}

Divide the numbers:

\frac{10}{2} = 5

= 5

(3^{2} - 2^{3})^{66}

8 5^{2} - 7 7^{2}

(- 6 + 4 - 3 - 5) \times (- 10)

5 6^{2} - 4 4^{2}

\frac{18}{( 3 + 3 ) ^{3}}