What is (9/11 \times 2)\div 3 ?

The solution to (9/11 \times 2)\div 3 is 6/11

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(9/11 \times 2)\div 3

(\frac{9}{11} \times 2) \div 3

\frac{6}{11}

Solution steps

(\frac{9}{11} \times 2) \div 3

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{9}{11} \times 2) : \frac{18}{11}

\frac{9}{11} \times 2

\frac{9}{11} \cdot 2 = \frac{18}{11}

\frac{9}{11} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{9}{11}

Multiply fractions:

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

= \frac{9 \cdot 2}{11 \cdot 1}

Multiply the numbers:

9 \cdot 2 = 18

= \frac{18}{11 \cdot 1}

Multiply the numbers:

11 \cdot 1 = 11

= \frac{18}{11}

= \frac{18}{11}

= \frac{18}{11} \div 3

Multiply and divide (left to right)

\frac{18}{11} \div 3 : \frac{6}{11}

\frac{18}{11} \div 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{18}{11} \div \frac{3}{1}

Apply the fraction rule:

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

= \frac{18}{11} \cdot \frac{1}{3}

Cross-cancel common factor:

3

= \frac{6}{11}

= \frac{6}{11}

2 (- 15) - 5

2 - 1^{2}

5 - 1 - 6

9 + 24 \div 8 \times 2 + 6 \times 7 + 4 - 3

\frac{1 2 ^{4} - 4}{1 2 ^{2} + 2}