What is the answer to 4/6 = 5/(m-8) ?

The answer to 4/6 = 5/(m-8) is m= 31/2

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4/6 = 5/(m-8)

\frac{4}{6} = \frac{5}{m - 8}

m = \frac{31}{2}

Decimal Notation

m = 15.5

Solution steps

\frac{4}{6} = \frac{5}{m - 8}

Cross multiply

4 (m - 8) = 30

Divide both sides by

4

m - 8 = \frac{15}{2}

Move

8

to the right side

m = \frac{31}{2}

Verify Solutions

Find undefined (singularity) points:

m = 8

Combine undefined points with solutions:

m = \frac{31}{2}

\frac{270}{3 x} = 15

\frac{100}{x} = 10 - x

\frac{x + 1}{x} = \frac{5}{3}

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

\frac{x ^{2}}{x + 2} = x + 1