What is the answer to 3.379= 1/k ?

The answer to 3.379= 1/k is k= 1000/3379

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3.379= 1/k

3.379 = \frac{1}{k}

k = \frac{1000}{3379}

Decimal Notation

k = 0.29594 \dots

Solution steps

3.379 = \frac{1}{k}

Multiply both sides by

k

3.379 k = 1

Multiply both sides by

1000

3379 k = 1000

Divide both sides by

3379

k = \frac{1000}{3379}

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = \frac{1000}{3379}

3 x + 20 = \frac{3}{150 - x}

3 = \frac{6 x ^{2}}{6 x + 8}

55200 = \frac{115}{1 E}

\frac{38.4}{x} + x = 12.5

4 (r + 20) = \frac{1}{5 ( 20 r + 400 )}