Solve 1/2*3sqrt{1}555/4

$$\frac { 1 } { 2 } \times 3 \sqrt { 1 } 55 \frac { 5 } { 4 }$$

Evaluate

$$\frac{675}{8}=84.375$$

Solution Steps

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

$$\frac{3}{2}\sqrt{1}\times \frac{55\times 4+5}{4}$$

Calculate the square root of 1 and get 1.

$$\frac{3}{2}\times 1\times \frac{55\times 4+5}{4}$$

Multiply \frac{3}{2} and 1 to get \frac{3}{2}.

$$\frac{3}{2}\times \frac{55\times 4+5}{4}$$

Multiply 55 and 4 to get 220.

$$\frac{3}{2}\times \frac{220+5}{4}$$

Add 220 and 5 to get 225.

$$\frac{3}{2}\times \frac{225}{4}$$

Multiply \frac{3}{2} times \frac{225}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 225}{2\times 4}$$

Do the multiplications in the fraction \frac{3\times 225}{2\times 4}.

$$\frac{675}{8}$$

Factor

$$\frac{3 ^ {3} \cdot 5 ^ {2}}{2 ^ {3}} = 84\frac{3}{8} = 84.375$$