Solve -5/9*3/4-1/4*(-5/9)

$$- \frac { 5 } { 9 } \cdot \frac { 3 } { 4 } - \frac { 1 } { 4 } \cdot ( - \frac { 5 } { 9 } )$$

Evaluate

$$-\frac{5}{18}\approx -0.277777778$$

Solution Steps

Multiply -\frac{5}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 3}{9\times 4}-\frac{1}{4}\left(-\frac{5}{9}\right)$$

Do the multiplications in the fraction \frac{-5\times 3}{9\times 4}.

$$\frac{-15}{36}-\frac{1}{4}\left(-\frac{5}{9}\right)$$

Reduce the fraction \frac{-15}{36} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{12}-\frac{1}{4}\left(-\frac{5}{9}\right)$$

Multiply \frac{1}{4} times -\frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{5}{12}-\frac{1\left(-5\right)}{4\times 9}$$

Do the multiplications in the fraction \frac{1\left(-5\right)}{4\times 9}.

$$-\frac{5}{12}-\frac{-5}{36}$$

Fraction \frac{-5}{36} can be rewritten as -\frac{5}{36} by extracting the negative sign.

$$-\frac{5}{12}-\left(-\frac{5}{36}\right)$$

The opposite of -\frac{5}{36} is \frac{5}{36}.

$$-\frac{5}{12}+\frac{5}{36}$$

Least common multiple of 12 and 36 is 36. Convert -\frac{5}{12} and \frac{5}{36} to fractions with denominator 36.

$$-\frac{15}{36}+\frac{5}{36}$$

Since -\frac{15}{36} and \frac{5}{36} have the same denominator, add them by adding their numerators.

$$\frac{-15+5}{36}$$

Add -15 and 5 to get -10.

$$\frac{-10}{36}$$

Reduce the fraction \frac{-10}{36} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{18}$$

Factor

$$-\frac{5}{18} = -0.2777777777777778$$