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

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

Evaluate

$$\frac{12}{65}\approx 0.184615385$$

Solution Steps

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

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

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

$$\frac{32}{65}-\frac{5}{13}\times \frac{4}{5}$$

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

$$\frac{32}{65}-\frac{5\times 4}{13\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{32}{65}-\frac{4}{13}$$

Least common multiple of 65 and 13 is 65. Convert \frac{32}{65} and \frac{4}{13} to fractions with denominator 65.

$$\frac{32}{65}-\frac{20}{65}$$

Since \frac{32}{65} and \frac{20}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-20}{65}$$

Subtract 20 from 32 to get 12.

$$\frac{12}{65}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5 \cdot 13} = 0.18461538461538463$$