Solve frac{3sqrt{4}}{10}*5/2

$$\frac { 3 \sqrt { 4 } } { 10 } \times \frac { 5 } { 2 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Calculate the square root of 4 and get 2.

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

Multiply 3 and 2 to get 6.

$$\frac{6}{10}\times \frac{5}{2}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}\times \frac{5}{2}$$

Multiply \frac{3}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$