Solve 53/11-21/11*sqrt[3]{-8}=

$$5 \frac { 3 } { 11 } - 2 \frac { 1 } { 11 } \cdot \sqrt[ 3 ] { - 8 } =$$

Evaluate

$$\frac{104}{11}\approx 9.454545455$$

Solution Steps

Multiply 5 and 11 to get 55.

$$\frac{55+3}{11}-\frac{2\times 11+1}{11}\sqrt[3]{-8}$$

Add 55 and 3 to get 58.

$$\frac{58}{11}-\frac{2\times 11+1}{11}\sqrt[3]{-8}$$

Multiply 2 and 11 to get 22.

$$\frac{58}{11}-\frac{22+1}{11}\sqrt[3]{-8}$$

Add 22 and 1 to get 23.

$$\frac{58}{11}-\frac{23}{11}\sqrt[3]{-8}$$

Calculate \sqrt[3]{-8} and get -2.

$$\frac{58}{11}-\frac{23}{11}\left(-2\right)$$

Multiply \frac{23}{11} and -2 to get -\frac{46}{11}.

$$\frac{58}{11}-\left(-\frac{46}{11}\right)$$

The opposite of -\frac{46}{11} is \frac{46}{11}.

$$\frac{58}{11}+\frac{46}{11}$$

Add \frac{58}{11} and \frac{46}{11} to get \frac{104}{11}.

$$\frac{104}{11}$$

Factor

$$\frac{2 ^ {3} \cdot 13}{11} = 9\frac{5}{11} = 9.454545454545455$$