Solve 4*((5div7)-(6+2)]div(-1-4)3

$$4 \times ( ( 5 \div 7 ) - ( 6 + 2 ) ] \div ( - 1 - 4 ) 3$$

Evaluate

$$\frac{612}{35}\approx 17.485714286$$

Solution Steps

Add 6 and 2 to get 8.

$$\frac{4\left(\frac{5}{7}-8\right)}{-1-4}\times 3$$

Convert 8 to fraction \frac{56}{7}.

$$\frac{4\left(\frac{5}{7}-\frac{56}{7}\right)}{-1-4}\times 3$$

Since \frac{5}{7} and \frac{56}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times \frac{5-56}{7}}{-1-4}\times 3$$

Subtract 56 from 5 to get -51.

$$\frac{4\left(-\frac{51}{7}\right)}{-1-4}\times 3$$

Express 4\left(-\frac{51}{7}\right) as a single fraction.

$$\frac{\frac{4\left(-51\right)}{7}}{-1-4}\times 3$$

Multiply 4 and -51 to get -204.

$$\frac{\frac{-204}{7}}{-1-4}\times 3$$

Fraction \frac{-204}{7} can be rewritten as -\frac{204}{7} by extracting the negative sign.

$$\frac{-\frac{204}{7}}{-1-4}\times 3$$

Subtract 4 from -1 to get -5.

$$\frac{-\frac{204}{7}}{-5}\times 3$$

Express \frac{-\frac{204}{7}}{-5} as a single fraction.

$$\frac{-204}{7\left(-5\right)}\times 3$$

Multiply 7 and -5 to get -35.

$$\frac{-204}{-35}\times 3$$

Fraction \frac{-204}{-35} can be simplified to \frac{204}{35} by removing the negative sign from both the numerator and the denominator.

$$\frac{204}{35}\times 3$$

Express \frac{204}{35}\times 3 as a single fraction.

$$\frac{204\times 3}{35}$$

Multiply 204 and 3 to get 612.

$$\frac{612}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 17}{5 \cdot 7} = 17\frac{17}{35} = 17.485714285714284$$