The solution to 12/11*7-12 is -48/11

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12/11*7-12

Solution

\frac{12}{11} \cdot 7 - 12

- \frac{48}{11}

Solution steps

\frac{12}{11} \cdot 7 - 12

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{12}{11} \cdot 7 : \frac{84}{11}

\frac{12}{11} \cdot 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{12}{11} \cdot \frac{7}{1}

Apply the fraction rule:

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

= \frac{12 \cdot 7}{11 \cdot 1}

Multiply the numbers:

12 \cdot 7 = 84

= \frac{84}{11 \cdot 1}

Multiply the numbers:

11 \cdot 1 = 11

= \frac{84}{11}

= \frac{84}{11} - 12

Add and subtract (left to right)

\frac{84}{11} - 12 : - \frac{48}{11}

\frac{84}{11} - 12

\frac{84}{11} - 12 = - \frac{48}{11}

\frac{84}{11} - 12

Convert element to fraction:

12 = \frac{12 \cdot 11}{11}

= - \frac{12 \cdot 11}{11} + \frac{84}{11}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 12 \cdot 11 + 84}{11}

- 12 \cdot 11 + 84 = - 48

- 12 \cdot 11 + 84

Multiply the numbers:

12 \cdot 11 = 132

= - 132 + 84

Add/Subtract the numbers:

- 132 + 84 = - 48

= - 48

= \frac{- 48}{11}

Apply the fraction rule:

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

= - \frac{48}{11}

= - \frac{48}{11}

= - \frac{48}{11}

80 \div 4 - 2 (2 + 1)^{2}

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

- 4 {5 + 2 [5 + (- 8)]}

(- 3) \times 3 \times (- 3) \times (- 3) \times 3

9 - 15 + 4