Solve -3/13+12/13*4/5

$$- \frac { 3 } { 13 } + \frac { 12 } { 13 } \times \frac { 4 } { 5 }$$

Evaluate

$$\frac{33}{65}\approx 0.507692308$$

Solution Steps

Multiply \frac{12}{13} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{3}{13}+\frac{12\times 4}{13\times 5}$$

Do the multiplications in the fraction \frac{12\times 4}{13\times 5}.

$$-\frac{3}{13}+\frac{48}{65}$$

Least common multiple of 13 and 65 is 65. Convert -\frac{3}{13} and \frac{48}{65} to fractions with denominator 65.

$$-\frac{15}{65}+\frac{48}{65}$$

Since -\frac{15}{65} and \frac{48}{65} have the same denominator, add them by adding their numerators.

$$\frac{-15+48}{65}$$

Add -15 and 48 to get 33.

$$\frac{33}{65}$$

Factor

$$\frac{3 \cdot 11}{5 \cdot 13} = 0.5076923076923077$$