Solve -0.88^2/2+-0.22--0.44^3/3

$$\frac{ - { 0.88 }^{ 2 } }{ 2 } +-0.22- \frac{ - { 0.44 }^{ 3 } }{ 3 }$$

Evaluate

$$-\frac{54263}{93750}\approx -0.578805333$$

Solution Steps

Calculate 0.88 to the power of 2 and get 0.7744.

$$\frac{-0.7744}{2}-0.22-\frac{-0.44^{3}}{3}$$

Expand \frac{-0.7744}{2} by multiplying both numerator and the denominator by 10000.

$$\frac{-7744}{20000}-0.22-\frac{-0.44^{3}}{3}$$

Reduce the fraction \frac{-7744}{20000} to lowest terms by extracting and canceling out 32.

$$-\frac{242}{625}-0.22-\frac{-0.44^{3}}{3}$$

Convert decimal number 0.22 to fraction \frac{22}{100}. Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{242}{625}-\frac{11}{50}-\frac{-0.44^{3}}{3}$$

Least common multiple of 625 and 50 is 1250. Convert -\frac{242}{625} and \frac{11}{50} to fractions with denominator 1250.

$$-\frac{484}{1250}-\frac{275}{1250}-\frac{-0.44^{3}}{3}$$

Since -\frac{484}{1250} and \frac{275}{1250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-484-275}{1250}-\frac{-0.44^{3}}{3}$$

Subtract 275 from -484 to get -759.

$$-\frac{759}{1250}-\frac{-0.44^{3}}{3}$$

Calculate 0.44 to the power of 3 and get 0.085184.

$$-\frac{759}{1250}-\frac{-0.085184}{3}$$

Expand \frac{-0.085184}{3} by multiplying both numerator and the denominator by 1000000.

$$-\frac{759}{1250}-\frac{-85184}{3000000}$$

Reduce the fraction \frac{-85184}{3000000} to lowest terms by extracting and canceling out 64.

$$-\frac{759}{1250}-\left(-\frac{1331}{46875}\right)$$

The opposite of -\frac{1331}{46875} is \frac{1331}{46875}.

$$-\frac{759}{1250}+\frac{1331}{46875}$$

Least common multiple of 1250 and 46875 is 93750. Convert -\frac{759}{1250} and \frac{1331}{46875} to fractions with denominator 93750.

$$-\frac{56925}{93750}+\frac{2662}{93750}$$

Since -\frac{56925}{93750} and \frac{2662}{93750} have the same denominator, add them by adding their numerators.

$$\frac{-56925+2662}{93750}$$

Add -56925 and 2662 to get -54263.

$$-\frac{54263}{93750}$$

Factor

$$-\frac{54263}{93750} = -0.5788053333333333$$