Solve -1/3*(05+2/5)-3/4=

$$- \frac { 1 } { 3 } \cdot ( 05 + \frac { 2 } { 5 } ) - \frac { 3 } { 4 } =$$

Evaluate

$$-\frac{53}{60}\approx -0.883333333$$

Solution Steps

Multiply 0 and 5 to get 0.

$$-\frac{1}{3}\times \frac{2}{5}-\frac{3}{4}$$

Multiply -\frac{1}{3} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2}{3\times 5}-\frac{3}{4}$$

Do the multiplications in the fraction \frac{-2}{3\times 5}.

$$\frac{-2}{15}-\frac{3}{4}$$

Fraction \frac{-2}{15} can be rewritten as -\frac{2}{15} by extracting the negative sign.

$$-\frac{2}{15}-\frac{3}{4}$$

Least common multiple of 15 and 4 is 60. Convert -\frac{2}{15} and \frac{3}{4} to fractions with denominator 60.

$$-\frac{8}{60}-\frac{45}{60}$$

Since -\frac{8}{60} and \frac{45}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-45}{60}$$

Subtract 45 from -8 to get -53.

$$-\frac{53}{60}$$

Factor

$$-\frac{53}{60} = -0.8833333333333333$$