Solve 1.0288+0.2212/2(0.25)

$$1.0288+ \frac{ 0.2212 }{ 2 } (0.25)$$

Evaluate

$$1.05645$$

Solution Steps

Expand \frac{0.2212}{2} by multiplying both numerator and the denominator by 10000.

$$1.0288+\frac{2212}{20000}\times 0.25$$

Reduce the fraction \frac{2212}{20000} to lowest terms by extracting and canceling out 4.

$$1.0288+\frac{553}{5000}\times 0.25$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$1.0288+\frac{553}{5000}\times \frac{1}{4}$$

Multiply \frac{553}{5000} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$1.0288+\frac{553\times 1}{5000\times 4}$$

Do the multiplications in the fraction \frac{553\times 1}{5000\times 4}.

$$1.0288+\frac{553}{20000}$$

Convert decimal number 1.0288 to fraction \frac{10288}{10000}. Reduce the fraction \frac{10288}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{643}{625}+\frac{553}{20000}$$

Least common multiple of 625 and 20000 is 20000. Convert \frac{643}{625} and \frac{553}{20000} to fractions with denominator 20000.

$$\frac{20576}{20000}+\frac{553}{20000}$$

Since \frac{20576}{20000} and \frac{553}{20000} have the same denominator, add them by adding their numerators.

$$\frac{20576+553}{20000}$$

Add 20576 and 553 to get 21129.

$$\frac{21129}{20000}$$

Factor

$$\frac{3 \cdot 7043}{2 ^ {5} \cdot 5 ^ {4}} = 1\frac{1129}{20000} = 1.05645$$