What is (15)/(-10)\times (-6)+2 ?

The solution to (15)/(-10)\times (-6)+2 is 11

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(15)/(-10)\times (-6)+2

\frac{15}{- 10} \cdot (- 6) + 2

11

Solution steps

\frac{15}{- 10} (- 6) + 2

Simplify

\frac{15}{- 10} : - \frac{3}{2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{15}{10}

Cancel the common factor:

5

= - \frac{3}{2}

= (- \frac{3}{2}) (- 6) + 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- \frac{3}{2}) (- 6) : 9

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

Apply rule

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

(- \frac{3}{2}) (- 6) = \frac{3}{2} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{3}{2} \cdot \frac{6}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 6}{2 \cdot 1}

Cancel

\frac{3 \cdot 6}{2 \cdot 1} : 9

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

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3 \cdot 6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

= 9

= 9 + 2

Add and subtract (left to right)

9 + 2 : 11

9 + 2

9 + 2 = 11

= 11

= 11

(- 2) \cdot (- 3) + (- 2 + 5)

4 (2) + 12

7 (4 + 2)^{2} - 7 \cdot 4

3 (- \frac{2}{3} + \frac{4}{9})

- 3 (5)^{3}