Solve =1/12*(0.19)*(0.07^3)-1/12(0.178)(0.062^2)

$$= \frac { 1 } { 12 } \times ( 0.19 ) \times ( 0.07 ^ { 3 } ) - \frac { 1 } { 12 } ( 0.178 ) ( 0.062 ^ { 2 } )$$

Evaluate

$$-0.0000515885$$

Solution Steps

Convert decimal number 0.19 to fraction \frac{19}{100}.

$$\frac{1}{12}\times \frac{19}{100}\times 0.07^{3}-\frac{1}{12}\times 0.178\times 0.062^{2}$$

Multiply \frac{1}{12} times \frac{19}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 19}{12\times 100}\times 0.07^{3}-\frac{1}{12}\times 0.178\times 0.062^{2}$$

Do the multiplications in the fraction \frac{1\times 19}{12\times 100}.

$$\frac{19}{1200}\times 0.07^{3}-\frac{1}{12}\times 0.178\times 0.062^{2}$$

Calculate 0.07 to the power of 3 and get 0.000343.

$$\frac{19}{1200}\times 0.000343-\frac{1}{12}\times 0.178\times 0.062^{2}$$

Convert decimal number 0.000343 to fraction \frac{343}{1000000}.

$$\frac{19}{1200}\times \frac{343}{1000000}-\frac{1}{12}\times 0.178\times 0.062^{2}$$

Multiply \frac{19}{1200} times \frac{343}{1000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 343}{1200\times 1000000}-\frac{1}{12}\times 0.178\times 0.062^{2}$$

Do the multiplications in the fraction \frac{19\times 343}{1200\times 1000000}.

$$\frac{6517}{1200000000}-\frac{1}{12}\times 0.178\times 0.062^{2}$$

Convert decimal number 0.178 to fraction \frac{178}{1000}. Reduce the fraction \frac{178}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{6517}{1200000000}-\frac{1}{12}\times \frac{89}{500}\times 0.062^{2}$$

Multiply \frac{1}{12} times \frac{89}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6517}{1200000000}-\frac{1\times 89}{12\times 500}\times 0.062^{2}$$

Do the multiplications in the fraction \frac{1\times 89}{12\times 500}.

$$\frac{6517}{1200000000}-\frac{89}{6000}\times 0.062^{2}$$

Calculate 0.062 to the power of 2 and get 0.003844.

$$\frac{6517}{1200000000}-\frac{89}{6000}\times 0.003844$$

Convert decimal number 0.003844 to fraction \frac{3844}{1000000}. Reduce the fraction \frac{3844}{1000000} to lowest terms by extracting and canceling out 4.

$$\frac{6517}{1200000000}-\frac{89}{6000}\times \frac{961}{250000}$$

Multiply \frac{89}{6000} times \frac{961}{250000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6517}{1200000000}-\frac{89\times 961}{6000\times 250000}$$

Do the multiplications in the fraction \frac{89\times 961}{6000\times 250000}.

$$\frac{6517}{1200000000}-\frac{85529}{1500000000}$$

Least common multiple of 1200000000 and 1500000000 is 6000000000. Convert \frac{6517}{1200000000} and \frac{85529}{1500000000} to fractions with denominator 6000000000.

$$\frac{32585}{6000000000}-\frac{342116}{6000000000}$$

Since \frac{32585}{6000000000} and \frac{342116}{6000000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32585-342116}{6000000000}$$

Subtract 342116 from 32585 to get -309531.

$$\frac{-309531}{6000000000}$$

Reduce the fraction \frac{-309531}{6000000000} to lowest terms by extracting and canceling out 3.

$$-\frac{103177}{2000000000}$$

Factor

$$-0.0000515885$$