Algebra Examples

$\frac{\frac{x - 1}{2 x - 7}}{- \frac{1}{10}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{x - 1}{2 x - 7} (- 1 \cdot 10)$

Step 2

Multiply $- 1$ by $10$ .

$\frac{x - 1}{2 x - 7} \cdot - 10$

Step 3

Combine $\frac{x - 1}{2 x - 7}$ and $- 10$ .

$\frac{(x - 1) \cdot - 10}{2 x - 7}$

Step 4

Simplify the expression.

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Step 4.1

Move $- 10$ to the left of $x - 1$ .

$\frac{- 10 \cdot (x - 1)}{2 x - 7}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{10 (x - 1)}{2 x - 7}$