Solve 2 - (1/4)\{(- 5 / (- 48)) / (- 16)\}

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Question

$$\underline{2}-(\frac{1}{4})\{-5\div(-48)\div(-16)\}$$

Evaluate

$\frac{16901}{768}\approx 22.006510417$

Solution Steps

Divide $1$ by $1$ to get $1$.

$$22-1\times \frac{\frac{-5}{-48}}{-16}$$

Express $\frac{\frac{-5}{-48}}{-16}$ as a single fraction.

$$22-1\times \frac{-5}{-48\left(-16\right)}$$

Multiply $-48$ and $-16$ to get $768$.

$$22-1\times \frac{-5}{768}$$

Fraction $\frac{-5}{768}$ can be rewritten as $-\frac{5}{768}$ by extracting the negative sign.

$$22-1\left(-\frac{5}{768}\right)$$

Multiply $1$ and $-\frac{5}{768}$ to get $-\frac{5}{768}$.

$$22-\left(-\frac{5}{768}\right)$$

The opposite of $-\frac{5}{768}$ is $\frac{5}{768}$.

$$22+\frac{5}{768}$$

Convert $22$ to fraction $\frac{16896}{768}$.

$$\frac{16896}{768}+\frac{5}{768}$$

Since $\frac{16896}{768}$ and $\frac{5}{768}$ have the same denominator, add them by adding their numerators.

$$\frac{16896+5}{768}$$

Add $16896$ and $5$ to get $16901$.

$$\frac{16901}{768}$$

Show Solution

Factor

$\frac{16901}{2 ^ {8} \cdot 3} = 22\frac{5}{768} = 22.006510416666668$