What is the answer to 1/7+1/8 = 1/x ?

The answer to 1/7+1/8 = 1/x is x= 56/15

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1/7+1/8 = 1/x

\frac{1}{7} + \frac{1}{8} = \frac{1}{x}

x = \frac{56}{15}

Decimal

x = 3.73333 \dots

Solution steps

\frac{1}{7} + \frac{1}{8} = \frac{1}{x}

Multiply both sides by

x

\frac{15}{56} x = 1

Multiply both sides by

56

15 x = 56

Divide both sides by

15

x = \frac{56}{15}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{56}{15}

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

\frac{30 x + 6288}{x + 166} = 36.54

- 6 - \frac{6}{x + 5} = \frac{6 x}{x + 5}

2 x - 9 = \frac{5}{x}

8 x - \frac{9}{x} = 1