Solve 35-2/3/4-frac{7{2}}

$$3 \frac { 5 - \frac { 2 } { 3 } } { 4 - \frac { 7 } { 2 } }$$

Evaluate

$$26$$

Solution Steps

Convert 5 to fraction \frac{15}{3}.

$$3\times \frac{\frac{15}{3}-\frac{2}{3}}{4-\frac{7}{2}}$$

Since \frac{15}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$3\times \frac{\frac{15-2}{3}}{4-\frac{7}{2}}$$

Subtract 2 from 15 to get 13.

$$3\times \frac{\frac{13}{3}}{4-\frac{7}{2}}$$

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

$$3\times \frac{\frac{13}{3}}{\frac{8}{2}-\frac{7}{2}}$$

Since \frac{8}{2} and \frac{7}{2} have the same denominator, subtract them by subtracting their numerators.

$$3\times \frac{\frac{13}{3}}{\frac{8-7}{2}}$$

Subtract 7 from 8 to get 1.

$$3\times \frac{\frac{13}{3}}{\frac{1}{2}}$$

Divide \frac{13}{3} by \frac{1}{2} by multiplying \frac{13}{3} by the reciprocal of \frac{1}{2}.

$$3\times \frac{13}{3}\times 2$$

Express \frac{13}{3}\times 2 as a single fraction.

$$3\times \frac{13\times 2}{3}$$

Multiply 13 and 2 to get 26.

$$3\times \frac{26}{3}$$

Cancel out 3 and 3.

$$26$$

Factor

$$2\times 13$$