Solve -16/65*4/5+63/65*3/5

$$- \frac { 16 } { 65 } \times \frac { 4 } { 5 } + \frac { 63 } { 65 } \times \frac { 3 } { 5 }$$

Evaluate

$$\frac{5}{13}\approx 0.384615385$$

Solution Steps

Multiply -\frac{16}{65} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\times 4}{65\times 5}+\frac{63}{65}\times \frac{3}{5}$$

Do the multiplications in the fraction \frac{-16\times 4}{65\times 5}.

$$\frac{-64}{325}+\frac{63}{65}\times \frac{3}{5}$$

Fraction \frac{-64}{325} can be rewritten as -\frac{64}{325} by extracting the negative sign.

$$-\frac{64}{325}+\frac{63}{65}\times \frac{3}{5}$$

Multiply \frac{63}{65} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{64}{325}+\frac{63\times 3}{65\times 5}$$

Do the multiplications in the fraction \frac{63\times 3}{65\times 5}.

$$-\frac{64}{325}+\frac{189}{325}$$

Since -\frac{64}{325} and \frac{189}{325} have the same denominator, add them by adding their numerators.

$$\frac{-64+189}{325}$$

Add -64 and 189 to get 125.

$$\frac{125}{325}$$

Reduce the fraction \frac{125}{325} to lowest terms by extracting and canceling out 25.

$$\frac{5}{13}$$

Factor

$$\frac{5}{13} = 0.38461538461538464$$