What is 1-5\times 1/3 ?

The solution to 1-5\times 1/3 is -2/3

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1-5\times 1/3

1 - 5 \cdot \frac{1}{3}

- \frac{2}{3}

Solution steps

1 - 5 \cdot \frac{1}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

5 \cdot \frac{1}{3} : \frac{5}{3}

5 \cdot \frac{1}{3}

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{1} \cdot \frac{1}{3}

Apply the fraction rule:

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

= \frac{5 \cdot 1}{1 \cdot 3}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{5}{3}

= 1 - \frac{5}{3}

Add and subtract (left to right)

1 - \frac{5}{3} : - \frac{2}{3}

1 - \frac{5}{3}

1 - \frac{5}{3} = - \frac{2}{3}

1 - \frac{5}{3}

Convert element to fraction:

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

= \frac{1 \cdot 3}{3} - \frac{5}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 3 - 5}{3}

1 \cdot 3 - 5 = - 2

1 \cdot 3 - 5

Multiply the numbers:

1 \cdot 3 = 3

= 3 - 5

Subtract the numbers:

3 - 5 = - 2

= - 2

= \frac{- 2}{3}

Apply the fraction rule:

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

= - \frac{2}{3}

= - \frac{2}{3}

= - \frac{2}{3}

5^{2} - 4^{2} - 8^{0}

[6 + 4 [9 - 5 (10 - 12)] + 9 - 5] + 18

\frac{1}{3} \times 4 - 3

3 \div 2 \times 125

\frac{4}{3} \cdot 7^{3}