What is 12\times 3+15/6(2)-2 ?

The solution to 12\times 3+15/6(2)-2 is 39

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12\times 3+15/6(2)-2

12 \times 3 + 15/6 (2) - 2

39

Solution steps

12 \times 3 + 15/6 (2) - 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

12 \times 3 : 36

12 \times 3

12 \times 3 = 36

= 36

= 36 + 15/6 (2) - 2

Multiply and divide (left to right)

15/6 (2) : 5

15/6 (2)

15/6 = \frac{15}{6}

= \frac{15}{6} (2)

\frac{15}{6} (2) = 5

\frac{15}{6} (2)

Apply rule:

(a) = a

(2) = 2

= \frac{15}{6} \cdot 2

Cancel

\frac{15}{6} : \frac{5}{2}

\frac{15}{6}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5}{6}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 5}{3 \cdot 2}

Cancel the common factor:

3

= \frac{5}{2}

= \frac{5}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{5}{2} \cdot \frac{2}{1}

Cross-cancel common factor:

2

= \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= 5

= 5

= 36 + 5 - 2

Add and subtract (left to right)

36 + 5 - 2 : 39

36 + 5 - 2

36 + 5 = 41

= 41 - 2

41 - 2 = 39

= 39

= 39

- 3 (- 2) (- 3) - 2

(4)^{2} - 4 (4) + 8

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

\frac{2}{3} - 2 + 6

(4)^{2} - 4 (4) + 4