What is (12-42-52)\times 1/6 ?

The solution to (12-42-52)\times 1/6 is -41/3

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(12-42-52)\times 1/6

(12 - 42 - 52) \cdot \frac{1}{6}

- \frac{41}{3}

Solution steps

(12 - 42 - 52) \frac{1}{6}

Follow the PEMDAS order of operations

Calculate within parentheses

(12 - 42 - 52) : - 82

12 - 42 - 52

Add and subtract (left to right)

12 - 42 = - 30

= - 30 - 52

- 30 - 52 = - 82

= - 82

= - 82 \cdot \frac{1}{6}

Multiply and divide (left to right)

- 82 \cdot \frac{1}{6} : - \frac{41}{3}

- 82 \cdot \frac{1}{6}

Convert element to fraction:

82 = \frac{82}{1}

= - \frac{82}{1} \cdot \frac{1}{6}

Apply the fraction rule:

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

\frac{82}{1} \cdot \frac{1}{6} = \frac{82 \cdot 1}{1 \cdot 6}

= - \frac{82 \cdot 1}{1 \cdot 6}

\frac{82 \cdot 1}{1 \cdot 6} = \frac{41}{3}

\frac{82 \cdot 1}{1 \cdot 6}

\frac{82 \cdot 1}{1 \cdot 6} = \frac{82}{6}

\frac{82 \cdot 1}{1 \cdot 6}

Multiply the numbers:

82 \cdot 1 = 82

= \frac{82}{1 \cdot 6}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{82}{6}

= \frac{82}{6}

Factor the number:

82 = 2 \cdot 41

= \frac{2 \cdot 41}{6}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 41}{2 \cdot 3}

Cancel the common factor:

2

= \frac{41}{3}

= - \frac{41}{3}

= - \frac{41}{3}

[- 7 + (- 3) \cdot (- 4)] \cdot [5 - 6 \div (+ 2)] - 11

\frac{10}{5} - \frac{10}{2} (4 - 6)

- 3 - (- 2) + 10

15 - 23 + 12 - (+ 7 - (- 9 + 3) + 9 - 9) + 10

3 \times 2^{5}