Solve 7/2*sqrt{1.96}div2

$$\frac{ 7 }{ 2 } \times \sqrt{ 1.96 } \div 2$$

Evaluate

$$2.45$$

Solution Steps

Calculate the square root of 1.96 and get 1.4.

$$\frac{\frac{7}{2}\times 1.4}{2}$$

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{7}{2}\times \frac{7}{5}}{2}$$

Multiply \frac{7}{2} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\times 7}{2\times 5}}{2}$$

Do the multiplications in the fraction \frac{7\times 7}{2\times 5}.

$$\frac{\frac{49}{10}}{2}$$

Express \frac{\frac{49}{10}}{2} as a single fraction.

$$\frac{49}{10\times 2}$$

Multiply 10 and 2 to get 20.

$$\frac{49}{20}$$

Factor

$$\frac{7 ^ {2}}{5 \cdot 2 ^ {2}} = 2\frac{9}{20} = 2.45$$