What is 1/3 \times 8-3 ?

The solution to 1/3 \times 8-3 is -1/3

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1/3 \times 8-3

\frac{1}{3} \cdot 8 - 3

- \frac{1}{3}

Solution steps

\frac{1}{3} \cdot 8 - 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} \cdot 8 : \frac{8}{3}

\frac{1}{3} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{1}{3} \cdot \frac{8}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 8}{3 \cdot 1}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{8}{3}

= \frac{8}{3} - 3

Add and subtract (left to right)

\frac{8}{3} - 3 : - \frac{1}{3}

\frac{8}{3} - 3

\frac{8}{3} - 3 = - \frac{1}{3}

\frac{8}{3} - 3

Convert element to fraction:

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

= - \frac{3 \cdot 3}{3} + \frac{8}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 3 \cdot 3 + 8}{3}

- 3 \cdot 3 + 8 = - 1

- 3 \cdot 3 + 8

Multiply the numbers:

3 \cdot 3 = 9

= - 9 + 8

Add/Subtract the numbers:

- 9 + 8 = - 1

= - 1

= \frac{- 1}{3}

Apply the fraction rule:

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

= - \frac{1}{3}

= - \frac{1}{3}

= - \frac{1}{3}

3^{2} - 4 \times 1 \times (- 18)

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

[(- 60) \div (- 10)] \div 3 + 2 (5 - 9)

- 15 - 4 + 18 - 10 - 11 + 8

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