What is 1-3\times 1/2 ?

The solution to 1-3\times 1/2 is -1/2

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1-3\times 1/2

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

- \frac{1}{2}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \cdot \frac{1}{2} : \frac{3}{2}

3 \cdot \frac{1}{2}

Convert element to fraction:

3 = \frac{3}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 1 = 3

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

Multiply the numbers:

1 \cdot 2 = 2

= \frac{3}{2}

= 1 - \frac{3}{2}

Add and subtract (left to right)

1 - \frac{3}{2} : - \frac{1}{2}

1 - \frac{3}{2}

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

1 - \frac{3}{2}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

1 \cdot 2 - 3 = - 1

1 \cdot 2 - 3

Multiply the numbers:

1 \cdot 2 = 2

= 2 - 3

Subtract the numbers:

2 - 3 = - 1

= - 1

= \frac{- 1}{2}

Apply the fraction rule:

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

= - \frac{1}{2}

= - \frac{1}{2}

= - \frac{1}{2}

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