Solve -2/3+3/8*5/11

$$- \frac { 2 } { 3 } + \frac { 3 } { 8 } \times \frac { 5 } { 11 }$$

Evaluate

$$-\frac{131}{264}\approx -0.496212121$$

Solution Steps

Multiply \frac{3}{8} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{2}{3}+\frac{3\times 5}{8\times 11}$$

Do the multiplications in the fraction \frac{3\times 5}{8\times 11}.

$$-\frac{2}{3}+\frac{15}{88}$$

Least common multiple of 3 and 88 is 264. Convert -\frac{2}{3} and \frac{15}{88} to fractions with denominator 264.

$$-\frac{176}{264}+\frac{45}{264}$$

Since -\frac{176}{264} and \frac{45}{264} have the same denominator, add them by adding their numerators.

$$\frac{-176+45}{264}$$

Add -176 and 45 to get -131.

$$-\frac{131}{264}$$

Factor

$$-\frac{131}{264} = -0.4962121212121212$$