What is 8/12-10\div 1/2 ?

The solution to 8/12-10\div 1/2 is -58/3

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8/12-10\div 1/2

\frac{8}{12} - 10 \div \frac{1}{2}

- \frac{58}{3}

Solution steps

\frac{8}{12} - 10 \div \frac{1}{2}

\frac{8}{12} = \frac{2}{3}

Cancel the common factor:

4

\frac{2}{3}

= \frac{2}{3} - 10 \div \frac{1}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

10 \div \frac{1}{2} : 20

10 \div \frac{1}{2}

Convert element to fraction:

10 = \frac{10}{1}

= \frac{10}{1} \div \frac{1}{2}

Apply the fraction rule:

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

= \frac{10}{1} \cdot \frac{2}{1}

Apply rule

\frac{a}{1} = a

= 10 \cdot 2

Multiply the numbers:

10 \cdot 2 = 20

= 20

= \frac{2}{3} - 20

Add and subtract (left to right)

\frac{2}{3} - 20 : - \frac{58}{3}

\frac{2}{3} - 20

\frac{2}{3} - 20 = - \frac{58}{3}

\frac{2}{3} - 20

Convert element to fraction:

20 = \frac{20 \cdot 3}{3}

= - \frac{20 \cdot 3}{3} + \frac{2}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 20 \cdot 3 + 2}{3}

- 20 \cdot 3 + 2 = - 58

- 20 \cdot 3 + 2

Multiply the numbers:

20 \cdot 3 = 60

= - 60 + 2

Add/Subtract the numbers:

- 60 + 2 = - 58

= - 58

= \frac{- 58}{3}

Apply the fraction rule:

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

= - \frac{58}{3}

= - \frac{58}{3}

= - \frac{58}{3}

\frac{( 204 - 43 ) ^{2}}{204 + 43}

2000 - \frac{13}{100} + 1820 (2)

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

\frac{2}{3} (12 - 6)

0 (10 - 2 \cdot 0)^{2}