Solve (25/8*-8/9)+1/9=

$$( \frac { 25 } { 8 } \times \frac { - 8 } { 9 } ) + \frac { 1 } { 9 } =$$

Evaluate

$$-\frac{8}{3}\approx -2.666666667$$

Solution Steps

Fraction \frac{-8}{9} can be rewritten as -\frac{8}{9} by extracting the negative sign.

$$\frac{25}{8}\left(-\frac{8}{9}\right)+\frac{1}{9}$$

Multiply \frac{25}{8} times -\frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\left(-8\right)}{8\times 9}+\frac{1}{9}$$

Do the multiplications in the fraction \frac{25\left(-8\right)}{8\times 9}.

$$\frac{-200}{72}+\frac{1}{9}$$

Reduce the fraction \frac{-200}{72} to lowest terms by extracting and canceling out 8.

$$-\frac{25}{9}+\frac{1}{9}$$

Since -\frac{25}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

$$\frac{-25+1}{9}$$

Add -25 and 1 to get -24.

$$\frac{-24}{9}$$

Reduce the fraction \frac{-24}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{8}{3}$$

Factor

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$