Solve 9/8+8/81/-2

$$\frac{ \frac{ 9 }{ 8 } + \frac{ 8 }{ 81 } }{ -2 }$$

Evaluate

$$-\frac{793}{1296}\approx -0.611882716$$

Solution Steps

Least common multiple of 8 and 81 is 648. Convert \frac{9}{8} and \frac{8}{81} to fractions with denominator 648.

$$\frac{\frac{729}{648}+\frac{64}{648}}{-2}$$

Since \frac{729}{648} and \frac{64}{648} have the same denominator, add them by adding their numerators.

$$\frac{\frac{729+64}{648}}{-2}$$

Add 729 and 64 to get 793.

$$\frac{\frac{793}{648}}{-2}$$

Express \frac{\frac{793}{648}}{-2} as a single fraction.

$$\frac{793}{648\left(-2\right)}$$

Multiply 648 and -2 to get -1296.

$$\frac{793}{-1296}$$

Fraction \frac{793}{-1296} can be rewritten as -\frac{793}{1296} by extracting the negative sign.

$$-\frac{793}{1296}$$

Factor

$$-\frac{793}{1296} = -0.6118827160493827$$