Solve ((- 1 / (1/5)) / (1/- 5)) / (- 1/- 5) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-1\div\frac{1}{5}\div\frac{1}{-5}\div\frac{-1}{-5}$$

Evaluate

$125$

Solution Steps

Divide $\frac{\frac{-1}{\frac{1}{5}}}{\frac{1}{-5}}$ by $\frac{-1}{-5}$ by multiplying $\frac{\frac{-1}{\frac{1}{5}}}{\frac{1}{-5}}$ by the reciprocal of $\frac{-1}{-5}$.

$$\frac{\frac{-1}{\frac{1}{5}}\left(-5\right)}{\frac{1}{-5}\left(-1\right)}$$

Divide $-1$ by $\frac{1}{5}$ by multiplying $-1$ by the reciprocal of $\frac{1}{5}$.

$$\frac{-5\left(-5\right)}{\frac{1}{-5}\left(-1\right)}$$

Multiply $-5$ and $-5$ to get $25$.

$$\frac{25}{\frac{1}{-5}\left(-1\right)}$$

Fraction $\frac{1}{-5}$ can be rewritten as $-\frac{1}{5}$ by extracting the negative sign.

$$\frac{25}{-\frac{1}{5}\left(-1\right)}$$

Multiply $-\frac{1}{5}$ and $-1$ to get $\frac{1}{5}$.

$$\frac{25}{\frac{1}{5}}$$

Divide $25$ by $\frac{1}{5}$ by multiplying $25$ by the reciprocal of $\frac{1}{5}$.

$$25\times 5$$

Multiply $25$ and $5$ to get $125$.

$$125$$

Factor

$5^{3}$