Solve 10*106.9*2/400

$$10 \times \frac{ 106.9 \times 2 }{ 400 }$$

Evaluate

$$5.345$$

Solution Steps

Multiply 106.9 and 2 to get 213.8.

$$10\times \frac{213.8}{400}$$

Expand \frac{213.8}{400} by multiplying both numerator and the denominator by 10.

$$10\times \frac{2138}{4000}$$

Reduce the fraction \frac{2138}{4000} to lowest terms by extracting and canceling out 2.

$$10\times \frac{1069}{2000}$$

Express 10\times \frac{1069}{2000} as a single fraction.

$$\frac{10\times 1069}{2000}$$

Multiply 10 and 1069 to get 10690.

$$\frac{10690}{2000}$$

Reduce the fraction \frac{10690}{2000} to lowest terms by extracting and canceling out 10.

$$\frac{1069}{200}$$

Factor

$$\frac{1069}{2 ^ {3} \cdot 5 ^ {2}} = 5\frac{69}{200} = 5.345$$