Solve 5-1/2/5+frac{3{4}}

$$\frac { 5 - \frac { 1 } { 2 } } { 5 + \frac { 3 } { 4 } }$$

Evaluate

$$\frac{18}{23}\approx 0.782608696$$

Solution Steps

Convert 5 to fraction \frac{10}{2}.

$$\frac{\frac{10}{2}-\frac{1}{2}}{5+\frac{3}{4}}$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{10-1}{2}}{5+\frac{3}{4}}$$

Subtract 1 from 10 to get 9.

$$\frac{\frac{9}{2}}{5+\frac{3}{4}}$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{\frac{9}{2}}{\frac{20}{4}+\frac{3}{4}}$$

Since \frac{20}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{9}{2}}{\frac{20+3}{4}}$$

Add 20 and 3 to get 23.

$$\frac{\frac{9}{2}}{\frac{23}{4}}$$

Divide \frac{9}{2} by \frac{23}{4} by multiplying \frac{9}{2} by the reciprocal of \frac{23}{4}.

$$\frac{9}{2}\times \frac{4}{23}$$

Multiply \frac{9}{2} times \frac{4}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 4}{2\times 23}$$

Do the multiplications in the fraction \frac{9\times 4}{2\times 23}.

$$\frac{36}{46}$$

Reduce the fraction \frac{36}{46} to lowest terms by extracting and canceling out 2.

$$\frac{18}{23}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{23} = 0.782608695652174$$