What is 2\div 3(3\div 13)-1 ?

The solution to 2\div 3(3\div 13)-1 is -11/13

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2\div 3(3\div 13)-1

2 \div 3 (3 \div 13) - 1

- \frac{11}{13}

Solution steps

2 \div 3 (3 \div 13) - 1

Follow the PEMDAS order of operations

Calculate within parentheses

(3 \div 13) : \frac{3}{13}

3 \div 13

3 \div 13 = \frac{3}{13}

= \frac{3}{13}

= 2 \div 3 \cdot \frac{3}{13} - 1

Multiply and divide (left to right)

2 \div 3 \cdot \frac{3}{13} : \frac{2}{13}

2 \div 3 \cdot \frac{3}{13}

2 \div 3 = \frac{2}{3}

= \frac{2}{3} \cdot \frac{3}{13}

\frac{2}{3} \cdot \frac{3}{13} = \frac{2}{13}

= \frac{2}{13}

= \frac{2}{13} - 1

Add and subtract (left to right)

\frac{2}{13} - 1 : - \frac{11}{13}

\frac{2}{13} - 1

\frac{2}{13} - 1 = - \frac{11}{13}

\frac{2}{13} - 1

Convert element to fraction:

1 = \frac{1 \cdot 13}{13}

= - \frac{1 \cdot 13}{13} + \frac{2}{13}

Since the denominators are equal, combine the fractions:

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

= \frac{- 1 \cdot 13 + 2}{13}

- 1 \cdot 13 + 2 = - 11

- 1 \cdot 13 + 2

Multiply the numbers:

1 \cdot 13 = 13

= - 13 + 2

Add/Subtract the numbers:

- 13 + 2 = - 11

= - 11

= \frac{- 11}{13}

Apply the fraction rule:

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

= - \frac{11}{13}

= - \frac{11}{13}

= - \frac{11}{13}

5 \cdot 3^{2} - 3 + 9

(9) + (- \frac{6}{4} + \frac{2}{12})

(6)^{2} - 5 (6) - 5

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

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