What is the answer to 4/5 = 6/b-1 ?

The answer to 4/5 = 6/b-1 is b= 10/3

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4/5 = 6/b-1

\frac{4}{5} = \frac{6}{b} - 1

b = \frac{10}{3}

Decimal Notation

b = 3.33333 \dots

Solution steps

\frac{4}{5} = \frac{6}{b} - 1

Multiply by LCM

4 b = 30 - 5 b

Move

5 b

to the left side

9 b = 30

Divide both sides by

9

b = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{10}{3}

25 = \frac{15 - 8 x}{8 x} \cdot 100

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

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

\frac{3}{x} - \frac{5}{x - 1} = 4

\frac{x - 4}{x} = \frac{5}{7}