Solve 6-3/4/4+frac{5{2}}

$$\frac { 6 - \frac { 3 } { 4 } } { 4 + \frac { 5 } { 2 } }$$

Evaluate

$$\frac{21}{26}\approx 0.807692308$$

Solution Steps

Convert 6 to fraction \frac{24}{4}.

$$\frac{\frac{24}{4}-\frac{3}{4}}{4+\frac{5}{2}}$$

Since \frac{24}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{24-3}{4}}{4+\frac{5}{2}}$$

Subtract 3 from 24 to get 21.

$$\frac{\frac{21}{4}}{4+\frac{5}{2}}$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{\frac{21}{4}}{\frac{8}{2}+\frac{5}{2}}$$

Since \frac{8}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{21}{4}}{\frac{8+5}{2}}$$

Add 8 and 5 to get 13.

$$\frac{\frac{21}{4}}{\frac{13}{2}}$$

Divide \frac{21}{4} by \frac{13}{2} by multiplying \frac{21}{4} by the reciprocal of \frac{13}{2}.

$$\frac{21}{4}\times \frac{2}{13}$$

Multiply \frac{21}{4} times \frac{2}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 2}{4\times 13}$$

Do the multiplications in the fraction \frac{21\times 2}{4\times 13}.

$$\frac{42}{52}$$

Reduce the fraction \frac{42}{52} to lowest terms by extracting and canceling out 2.

$$\frac{21}{26}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 13} = 0.8076923076923077$$