Solve frac{3sqrt{4}-9/sqrt{4}}{13/8-3^2/8}=

$$\frac { 3 \sqrt { 4 } - \frac { 9 } { \sqrt { 4 } } } { \frac { 13 } { 8 } - \frac { 3 ^ { 2 } } { 8 } } =$$

Evaluate

$$3$$

Solution Steps

Calculate the square root of 4 and get 2.

$$\frac{3\times 2-\frac{9}{\sqrt{4}}}{\frac{13}{8}-\frac{3^{2}}{8}}$$

Multiply 3 and 2 to get 6.

$$\frac{6-\frac{9}{\sqrt{4}}}{\frac{13}{8}-\frac{3^{2}}{8}}$$

Calculate the square root of 4 and get 2.

$$\frac{6-\frac{9}{2}}{\frac{13}{8}-\frac{3^{2}}{8}}$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{\frac{12}{2}-\frac{9}{2}}{\frac{13}{8}-\frac{3^{2}}{8}}$$

Since \frac{12}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12-9}{2}}{\frac{13}{8}-\frac{3^{2}}{8}}$$

Subtract 9 from 12 to get 3.

$$\frac{\frac{3}{2}}{\frac{13}{8}-\frac{3^{2}}{8}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{\frac{3}{2}}{\frac{13}{8}-\frac{9}{8}}$$

Since \frac{13}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3}{2}}{\frac{13-9}{8}}$$

Subtract 9 from 13 to get 4.

$$\frac{\frac{3}{2}}{\frac{4}{8}}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

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

Divide \frac{3}{2} by \frac{1}{2} by multiplying \frac{3}{2} by the reciprocal of \frac{1}{2}.

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

Cancel out 2 and 2.

$$3$$

Factor

$$3$$