What is (b-1)/(10)*5/(1-b) ?

The solution to (b-1)/(10)*5/(1-b) is -1/2

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simplify (b-1)/(10)*5/(1-b)

simplify

\frac{b - 1}{10} \cdot \frac{5}{1 - b}

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

\frac{b - 1}{10} \cdot \frac{5}{1 - b}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( b - 1 ) \cdot 5}{10 ( 1 - b )}

Factor the number:

10 = 5 \cdot 2

= \frac{( b - 1 ) \cdot 5}{5 \cdot 2 ( 1 - b )}

Cancel the common factor:

5

= \frac{b - 1}{2 ( 1 - b )}

2 (1 - b) = - 2 (b - 1)

= \frac{b - 1}{- 2 ( b - 1 )}

Cancel the common factor:

b - 1

= \frac{1}{- 2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{1}{2}

22.5 (10 - y) + 27.5 y = 250

5 x + 3 = 1 x

\frac{x}{2} < 1

e^{3 x + 4} > 11

\frac{n + 5}{- 16} = - 1