What is 1-3/4 (-12) ?

The solution to 1-3/4 (-12) is 10

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1-3/4 (-12)

1 - \frac{3}{4} (- 12)

10

Solution steps

1 - \frac{3}{4} (- 12)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{4} (- 12) : - 9

\frac{3}{4} (- 12)

Apply rule

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

\frac{3}{4} (- 12) = - \frac{3}{4} \cdot 12

Convert element to fraction:

12 = \frac{12}{1}

= - \frac{3}{4} \cdot \frac{12}{1}

Apply the fraction rule:

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

\frac{3}{4} \cdot \frac{12}{1} = \frac{3 \cdot 12}{4 \cdot 1}

= - \frac{3 \cdot 12}{4 \cdot 1}

Cancel

\frac{3 \cdot 12}{4 \cdot 1} : 9

\frac{3 \cdot 12}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{3 \cdot 12}{4}

Divide the numbers:

\frac{12}{4} = 3

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

= - 9

= 1 - (- 9)

Add and subtract (left to right)

1 - (- 9) : 10

1 - (- 9)

Apply rule

- (- a) = + a

- (- 9) = + 9

= 1 + 9

1 + 9 = 10

= 10

= 10

(- 18 - 2) \times (- 7 + 8) + (- 12 \div 3)

- 5 \cdot 3^{0}

30 - 3 \cdot (- 4) - 30 \div (- 10)

76 - 90 \div 40

3 - 5 [- 3 + 5 + 4 (- 6 + 3) - 5] [4 + 9 (56/7 + 2) - 8]