Solve 83*52/3/10^23

$$\frac { 83 \times 5 \frac { 2 } { 3 } } { 10 ^ { 2 } 3 }$$

Evaluate

$$\frac{1411}{900}\approx 1.567777778$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{83\times \frac{15+2}{3}}{10^{2}\times 3}$$

Add 15 and 2 to get 17.

$$\frac{83\times \frac{17}{3}}{10^{2}\times 3}$$

Express 83\times \frac{17}{3} as a single fraction.

$$\frac{\frac{83\times 17}{3}}{10^{2}\times 3}$$

Multiply 83 and 17 to get 1411.

$$\frac{\frac{1411}{3}}{10^{2}\times 3}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{\frac{1411}{3}}{100\times 3}$$

Multiply 100 and 3 to get 300.

$$\frac{\frac{1411}{3}}{300}$$

Express \frac{\frac{1411}{3}}{300} as a single fraction.

$$\frac{1411}{3\times 300}$$

Multiply 3 and 300 to get 900.

$$\frac{1411}{900}$$

Factor

$$\frac{17 \cdot 83}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 1\frac{511}{900} = 1.5677777777777777$$