Solve 0.8*1.195-1/2*0.669*1.195^2

$$0.8 \times 1.195- \frac{ 1 }{ 2 } \times 0.669 \times { 1.195 }^{ 2 }$$

Evaluate

$$0.4783256375$$

Solution Steps

Multiply 0.8 and 1.195 to get 0.956.

$$0.956-\frac{1}{2}\times 0.669\times 1.195^{2}$$

Convert decimal number 0.669 to fraction \frac{669}{1000}.

$$0.956-\frac{1}{2}\times \frac{669}{1000}\times 1.195^{2}$$

Multiply \frac{1}{2} times \frac{669}{1000} by multiplying numerator times numerator and denominator times denominator.

$$0.956-\frac{1\times 669}{2\times 1000}\times 1.195^{2}$$

Do the multiplications in the fraction \frac{1\times 669}{2\times 1000}.

$$0.956-\frac{669}{2000}\times 1.195^{2}$$

Calculate 1.195 to the power of 2 and get 1.428025.

$$0.956-\frac{669}{2000}\times 1.428025$$

Convert decimal number 1.428025 to fraction \frac{1428025}{1000000}. Reduce the fraction \frac{1428025}{1000000} to lowest terms by extracting and canceling out 25.

$$0.956-\frac{669}{2000}\times \frac{57121}{40000}$$

Multiply \frac{669}{2000} times \frac{57121}{40000} by multiplying numerator times numerator and denominator times denominator.

$$0.956-\frac{669\times 57121}{2000\times 40000}$$

Do the multiplications in the fraction \frac{669\times 57121}{2000\times 40000}.

$$0.956-\frac{38213949}{80000000}$$

Convert decimal number 0.956 to fraction \frac{956}{1000}. Reduce the fraction \frac{956}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{239}{250}-\frac{38213949}{80000000}$$

Least common multiple of 250 and 80000000 is 80000000. Convert \frac{239}{250} and \frac{38213949}{80000000} to fractions with denominator 80000000.

$$\frac{76480000}{80000000}-\frac{38213949}{80000000}$$

Since \frac{76480000}{80000000} and \frac{38213949}{80000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{76480000-38213949}{80000000}$$

Subtract 38213949 from 76480000 to get 38266051.

$$\frac{38266051}{80000000}$$

Factor

$$\frac{29 \cdot 239 \cdot 5521}{2 ^ {10} \cdot 5 ^ {7}} = 0.4783256375$$