Solve 7/9 / 1/3x1/6

Question

Simplify the expression

Solution

\frac{14}{x}

Evaluate

\frac{7}{9} \div (\frac{1}{3} x \times \frac{1}{6})

Multiply the terms

More Steps

Multiply the terms

\frac{1}{3} x \times \frac{1}{6}

Multiply the terms

More Steps

Evaluate

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

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 6}

Multiply the numbers

\frac{1}{18}

\frac{1}{18} x

\frac{7}{9} \div \frac{1}{18} x

Rewrite the expression

\frac{7}{9} \div \frac{x}{18}

Multiply by the reciprocal

\frac{7}{9} \times \frac{18}{x}

Cancel out the common factor 9

7 \times \frac{2}{x}

Multiply the terms

\frac{7 \times 2}{x}

Solution

\frac{14}{x}

Show Solution

Find the excluded values

x = 0

Evaluate

\frac{7}{9} \div (\frac{1}{3} x \times \frac{1}{6})

To find the excluded values,set the denominators equal to 0

\frac{1}{3} x \times \frac{1}{6} = 0

Multiply the terms

More Steps

Evaluate

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

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 6}

Multiply the numbers

\frac{1}{18}

\frac{1}{18} x = 0

Solution

x = 0

Show Solution

Find the roots

Find the roots of the algebra expression

x \in \emptyset

Evaluate

\frac{7}{9} \div (\frac{1}{3} x \times \frac{1}{6})

To find the roots of the expression,set the expression equal to 0

\frac{7}{9} \div (\frac{1}{3} x \times \frac{1}{6}) = 0

Find the domain

More Steps

Evaluate

\frac{1}{3} x \times \frac{1}{6} \neq = 0

Multiply the terms

More Steps

Evaluate

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

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 6}

Multiply the numbers

\frac{1}{18}

\frac{1}{18} x \neq = 0

Rewrite the expression

x \neq = 0

\frac{7}{9} \div (\frac{1}{3} x \times \frac{1}{6}) = 0, x \neq = 0

Calculate

\frac{7}{9} \div (\frac{1}{3} x \times \frac{1}{6}) = 0

Multiply the terms

More Steps

Multiply the terms

\frac{1}{3} x \times \frac{1}{6}

Multiply the terms

More Steps

Evaluate

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

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 6}

Multiply the numbers

\frac{1}{18}

\frac{1}{18} x

\frac{7}{9} \div \frac{1}{18} x = 0

Divide the terms

More Steps

Evaluate

\frac{7}{9} \div \frac{1}{18} x

Rewrite the expression

\frac{7}{9} \div \frac{x}{18}

Multiply by the reciprocal

\frac{7}{9} \times \frac{18}{x}

Cancel out the common factor 9

7 \times \frac{2}{x}

Multiply the terms

\frac{7 \times 2}{x}

Multiply the terms

\frac{14}{x}

\frac{14}{x} = 0

Cross multiply

14 = x \times 0

Simplify the equation

14 = 0

Solution

x \in \emptyset

Show Solution