Solve 1.96*1.96*0.8*0.2div0.05div0.05

$$1.96 \times 1.96 \times 0.8 \times 0.2 \div 0.05 \div 0.05$$

Evaluate

$$245.8624$$

Solution Steps

Express \frac{\frac{1.96\times 1.96\times 0.8\times 0.2}{0.05}}{0.05} as a single fraction.

$$\frac{1.96\times 1.96\times 0.8\times 0.2}{0.05\times 0.05}$$

Multiply 1.96 and 1.96 to get 3.8416.

$$\frac{3.8416\times 0.8\times 0.2}{0.05\times 0.05}$$

Multiply 3.8416 and 0.8 to get 3.07328.

$$\frac{3.07328\times 0.2}{0.05\times 0.05}$$

Multiply 3.07328 and 0.2 to get 0.614656.

$$\frac{0.614656}{0.05\times 0.05}$$

Multiply 0.05 and 0.05 to get 0.0025.

$$\frac{0.614656}{0.0025}$$

Expand \frac{0.614656}{0.0025} by multiplying both numerator and the denominator by 1000000.

$$\frac{614656}{2500}$$

Reduce the fraction \frac{614656}{2500} to lowest terms by extracting and canceling out 4.

$$\frac{153664}{625}$$

Factor

$$\frac{2 ^ {6} \cdot 7 ^ {4}}{5 ^ {4}} = 245\frac{539}{625} = 245.8624$$