Solve 82*77div2101*34div2

$$82 \times 77 \div 2101 \times 34 \div 2$$

Evaluate

$$\frac{9758}{191}\approx 51.089005236$$

Solution Steps

Multiply 82 and 77 to get 6314.

$$\frac{\frac{6314}{2101}\times 34}{2}$$

Reduce the fraction \frac{6314}{2101} to lowest terms by extracting and canceling out 11.

$$\frac{\frac{574}{191}\times 34}{2}$$

Express \frac{574}{191}\times 34 as a single fraction.

$$\frac{\frac{574\times 34}{191}}{2}$$

Multiply 574 and 34 to get 19516.

$$\frac{\frac{19516}{191}}{2}$$

Express \frac{\frac{19516}{191}}{2} as a single fraction.

$$\frac{19516}{191\times 2}$$

Multiply 191 and 2 to get 382.

$$\frac{19516}{382}$$

Reduce the fraction \frac{19516}{382} to lowest terms by extracting and canceling out 2.

$$\frac{9758}{191}$$

Factor

$$\frac{2 \cdot 7 \cdot 17 \cdot 41}{191} = 51\frac{17}{191} = 51.089005235602095$$