The solution to 2/3 \div 6 is 1/9

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2/3 \div 6

Solution

\frac{2}{3} \div 6

\frac{1}{9}

Solution steps

\frac{2}{3} \div 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{2}{3} \div \frac{6}{1}

Apply the fraction rule:

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

= \frac{2}{3} \times \frac{1}{6}

Cross-cancel common factor:

2

= \frac{1}{3} \times \frac{1}{3}

Multiply fractions:

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

= \frac{1 \times 1}{3 \times 3}

Multiply the numbers:

1 \times 1 = 1

= \frac{1}{3 \times 3}

Multiply the numbers:

3 \times 3 = 9

= \frac{1}{9}

(2 x + 1) (4 - 9 x) - 2 x (3 x + 11)

3 y^{2} - 10 y - 8

(x - y - z) (x + y + z)

\frac{7}{8} + \frac{5}{6}

\frac{7}{6 x} + \frac{1}{6 x ^{2}}