Solve 2+14/4:sqrt{4*121}=

$$2 + \frac { 14 } { 4 } : \sqrt { 4 \times 121 } =$$

Evaluate

$$\frac{95}{44}\approx 2.159090909$$

Solution Steps

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$2+\frac{\frac{7}{2}}{\sqrt{4\times 121}}$$

Multiply 4 and 121 to get 484.

$$2+\frac{\frac{7}{2}}{\sqrt{484}}$$

Calculate the square root of 484 and get 22.

$$2+\frac{\frac{7}{2}}{22}$$

Express \frac{\frac{7}{2}}{22} as a single fraction.

$$2+\frac{7}{2\times 22}$$

Multiply 2 and 22 to get 44.

$$2+\frac{7}{44}$$

Convert 2 to fraction \frac{88}{44}.

$$\frac{88}{44}+\frac{7}{44}$$

Since \frac{88}{44} and \frac{7}{44} have the same denominator, add them by adding their numerators.

$$\frac{88+7}{44}$$

Add 88 and 7 to get 95.

$$\frac{95}{44}$$

Factor

$$\frac{5 \cdot 19}{2 ^ {2} \cdot 11} = 2\frac{7}{44} = 2.159090909090909$$