Solve 1.0*3.2+1/2(1.9981230*(3.2*3.2))

$$1.0 \times 3.2+ \frac{ 1 }{ 2 } (1.9981230 \times (3.2 \times 3.2))$$

Evaluate

$$13.43038976$$

Solution Steps

Multiply 1 and 3.2 to get 3.2.

$$3.2+\frac{1}{2}\times 1.998123\times 3.2\times 3.2$$

Convert decimal number 1.998123 to fraction \frac{1998123}{1000000}.

$$3.2+\frac{1}{2}\times \frac{1998123}{1000000}\times 3.2\times 3.2$$

Multiply \frac{1}{2} times \frac{1998123}{1000000} by multiplying numerator times numerator and denominator times denominator.

$$3.2+\frac{1\times 1998123}{2\times 1000000}\times 3.2\times 3.2$$

Do the multiplications in the fraction \frac{1\times 1998123}{2\times 1000000}.

$$3.2+\frac{1998123}{2000000}\times 3.2\times 3.2$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$3.2+\frac{1998123}{2000000}\times \frac{16}{5}\times 3.2$$

Multiply \frac{1998123}{2000000} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$3.2+\frac{1998123\times 16}{2000000\times 5}\times 3.2$$

Do the multiplications in the fraction \frac{1998123\times 16}{2000000\times 5}.

$$3.2+\frac{31969968}{10000000}\times 3.2$$

Reduce the fraction \frac{31969968}{10000000} to lowest terms by extracting and canceling out 16.

$$3.2+\frac{1998123}{625000}\times 3.2$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$3.2+\frac{1998123}{625000}\times \frac{16}{5}$$

Multiply \frac{1998123}{625000} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$3.2+\frac{1998123\times 16}{625000\times 5}$$

Do the multiplications in the fraction \frac{1998123\times 16}{625000\times 5}.

$$3.2+\frac{31969968}{3125000}$$

Reduce the fraction \frac{31969968}{3125000} to lowest terms by extracting and canceling out 8.

$$3.2+\frac{3996246}{390625}$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}+\frac{3996246}{390625}$$

Least common multiple of 5 and 390625 is 390625. Convert \frac{16}{5} and \frac{3996246}{390625} to fractions with denominator 390625.

$$\frac{1250000}{390625}+\frac{3996246}{390625}$$

Since \frac{1250000}{390625} and \frac{3996246}{390625} have the same denominator, add them by adding their numerators.

$$\frac{1250000+3996246}{390625}$$

Add 1250000 and 3996246 to get 5246246.

$$\frac{5246246}{390625}$$

Factor

$$\frac{2 \cdot 2623123}{5 ^ {8}} = 13\frac{168121}{390625} = 13.43038976$$