Solve (5/3-1)*(7/2-2)=

$$( \frac { 5 } { 3 } - 1 ) \cdot ( \frac { 7 } { 2 } - 2 ) =$$

Evaluate

$$1$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\left(\frac{5}{3}-\frac{3}{3}\right)\left(\frac{7}{2}-2\right)$$

Since \frac{5}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{3}\left(\frac{7}{2}-2\right)$$

Subtract 3 from 5 to get 2.

$$\frac{2}{3}\left(\frac{7}{2}-2\right)$$

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

$$\frac{2}{3}\left(\frac{7}{2}-\frac{4}{2}\right)$$

Since \frac{7}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 7 to get 3.

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

Cancel out \frac{2}{3} and its reciprocal \frac{3}{2}.

$$1$$

Factor

$$1$$