Solve (5/3-1):(7/2)

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

Evaluate

$$\frac{4}{21}\approx 0.19047619$$

Solution Steps

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

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

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

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

Subtract 3 from 5 to get 2.

$$\frac{\frac{2}{3}}{\frac{7}{2}}$$

Divide \frac{2}{3} by \frac{7}{2} by multiplying \frac{2}{3} by the reciprocal of \frac{7}{2}.

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

Multiply \frac{2}{3} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 2}{3\times 7}.

$$\frac{4}{21}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 7} = 0.19047619047619047$$