Solve 2sqrt{9/16}-1

$$2 \sqrt { \frac { 9 } { 16 } } - 1$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Rewrite the square root of the division \frac{9}{16} as the division of square roots \frac{\sqrt{9}}{\sqrt{16}}. Take the square root of both numerator and denominator.

$$2\times \frac{3}{4}-1$$

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{2\times 3}{4}-1$$

Multiply 2 and 3 to get 6.

$$\frac{6}{4}-1$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-1$$

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$