Solve 36 - 369 / \{- 72/24 * 5 + 2(17 - 7 - 18)\}

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$36-369\div\{-72\div24\times5+2(17-7-18)\}$$

Evaluate

$\frac{1485}{31}\approx 47.903225806$

Solution Steps

Divide $-72$ by $24$ to get $-3$.

$$36-\frac{369}{-3\times 5+2\left(17-7-18\right)}$$

Multiply $-3$ and $5$ to get $-15$.

$$36-\frac{369}{-15+2\left(17-7-18\right)}$$

Subtract $7$ from $17$ to get $10$.

$$36-\frac{369}{-15+2\left(10-18\right)}$$

Subtract $18$ from $10$ to get $-8$.

$$36-\frac{369}{-15+2\left(-8\right)}$$

Multiply $2$ and $-8$ to get $-16$.

$$36-\frac{369}{-15-16}$$

Subtract $16$ from $-15$ to get $-31$.

$$36-\frac{369}{-31}$$

Fraction $\frac{369}{-31}$ can be rewritten as $-\frac{369}{31}$ by extracting the negative sign.

$$36-\left(-\frac{369}{31}\right)$$

The opposite of $-\frac{369}{31}$ is $\frac{369}{31}$.

$$36+\frac{369}{31}$$

Convert $36$ to fraction $\frac{1116}{31}$.

$$\frac{1116}{31}+\frac{369}{31}$$

Since $\frac{1116}{31}$ and $\frac{369}{31}$ have the same denominator, add them by adding their numerators.

$$\frac{1116+369}{31}$$

Add $1116$ and $369$ to get $1485$.

$$\frac{1485}{31}$$

Show Solution

Factor

$\frac{3 ^ {3} \cdot 5 \cdot 11}{31} = 47\frac{28}{31} = 47.903225806451616$