What is (1/3-4)\div 1/2 ?

The solution to (1/3-4)\div 1/2 is -22/3

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(1/3-4)\div 1/2

(\frac{1}{3} - 4) \div \frac{1}{2}

- \frac{22}{3}

Solution steps

(\frac{1}{3} - 4) \div \frac{1}{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{3} - 4) : - \frac{11}{3}

\frac{1}{3} - 4

\frac{1}{3} - 4 = - \frac{11}{3}

\frac{1}{3} - 4

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

- 4 \cdot 3 + 1 = - 11

- 4 \cdot 3 + 1

Multiply the numbers:

4 \cdot 3 = 12

= - 12 + 1

Add/Subtract the numbers:

- 12 + 1 = - 11

= - 11

= \frac{- 11}{3}

Apply the fraction rule:

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

= - \frac{11}{3}

= - \frac{11}{3}

= - \frac{11}{3} \div \frac{1}{2}

Multiply and divide (left to right)

- \frac{11}{3} \div \frac{1}{2} : - \frac{22}{3}

- \frac{11}{3} \div \frac{1}{2}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= - \frac{11}{3} \cdot \frac{2}{1}

Apply rule

\frac{a}{1} = a

= - 2 \cdot \frac{11}{3}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{11}{3}

Multiply fractions:

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

= - \frac{11 \cdot 2}{3 \cdot 1}

Multiply the numbers:

11 \cdot 2 = 22

= - \frac{22}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{22}{3}

= - \frac{22}{3}

\frac{1}{2} \cdot 8 \cdot 4^{2}

2 \times 17 - 1

32 + 5 + 3 \cdot 8 - 5

50 - 15 + 10 + 30 - 12

6 - 12 \div 3 + 90 \div 3 \cdot 4