What is the answer to 9/10 =(10)/k ?

The answer to 9/10 =(10)/k is k= 100/9

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9/10 =(10)/k

\frac{9}{10} = \frac{10}{k}

k = \frac{100}{9}

Decimal Notation

k = 11.11111 \dots

Solution steps

\frac{9}{10} = \frac{10}{k}

Cross multiply

9 k = 100

Divide both sides by

9

k = \frac{100}{9}

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = \frac{100}{9}

\frac{x + 1}{x + 5} = \frac{7}{6}

\frac{2}{x + 1} - 2 x = 5

D = \frac{m}{v}

\frac{8}{5 x + 2} = \frac{5}{x - 3}

\frac{4}{n + 2} = \frac{7}{n}