Solve 11/6:1,4-(-2)^3=

$$1 \frac { 1 } { 6 } : 1,4 - ( - 2 ) ^ { 3 } =$$

Evaluate

$$\frac{53}{6}\approx 8,833333333$$

Solution Steps

Express \frac{\frac{1\times 6+1}{6}}{1,4} as a single fraction.

$$\frac{1\times 6+1}{6\times 1,4}-\left(-2\right)^{3}$$

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6\times 1,4}-\left(-2\right)^{3}$$

Add 6 and 1 to get 7.

$$\frac{7}{6\times 1,4}-\left(-2\right)^{3}$$

Multiply 6 and 1,4 to get 8,4.

$$\frac{7}{8,4}-\left(-2\right)^{3}$$

Expand \frac{7}{8,4} by multiplying both numerator and the denominator by 10.

$$\frac{70}{84}-\left(-2\right)^{3}$$

Reduce the fraction \frac{70}{84} to lowest terms by extracting and canceling out 14.

$$\frac{5}{6}-\left(-2\right)^{3}$$

Calculate -2 to the power of 3 and get -8.

$$\frac{5}{6}-\left(-8\right)$$

The opposite of -8 is 8.

$$\frac{5}{6}+8$$

Convert 8 to fraction \frac{48}{6}.

$$\frac{5}{6}+\frac{48}{6}$$

Since \frac{5}{6} and \frac{48}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+48}{6}$$

Add 5 and 48 to get 53.

$$\frac{53}{6}$$

Factor

$$\frac{53}{2 \cdot 3} = 8\frac{5}{6} = 8.833333333333334$$