Solve 8/13div5/2-4/5*8/13

$$\frac { 8 } { 13 } \div \frac { 5 } { 2 } - \frac { 4 } { 5 } \times \frac { 8 } { 13 }$$

Evaluate

$$-\frac{16}{65}\approx -0.246153846$$

Solution Steps

Divide \frac{8}{13} by \frac{5}{2} by multiplying \frac{8}{13} by the reciprocal of \frac{5}{2}.

$$\frac{8}{13}\times \frac{2}{5}-\frac{4}{5}\times \frac{8}{13}$$

Multiply \frac{8}{13} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 2}{13\times 5}-\frac{4}{5}\times \frac{8}{13}$$

Do the multiplications in the fraction \frac{8\times 2}{13\times 5}.

$$\frac{16}{65}-\frac{4}{5}\times \frac{8}{13}$$

Multiply \frac{4}{5} times \frac{8}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16}{65}-\frac{4\times 8}{5\times 13}$$

Do the multiplications in the fraction \frac{4\times 8}{5\times 13}.

$$\frac{16}{65}-\frac{32}{65}$$

Since \frac{16}{65} and \frac{32}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-32}{65}$$

Subtract 32 from 16 to get -16.

$$-\frac{16}{65}$$

Factor

$$-\frac{16}{65} = -0.24615384615384617$$