Solve 1.11*20%+5%

$$1.11 \times 20 \% +5 \%$$

Evaluate

$$0.272$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$1.11\times \frac{1}{5}+\frac{5}{100}$$

Convert decimal number 1.11 to fraction \frac{111}{100}.

$$\frac{111}{100}\times \frac{1}{5}+\frac{5}{100}$$

Multiply \frac{111}{100} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{111\times 1}{100\times 5}+\frac{5}{100}$$

Do the multiplications in the fraction \frac{111\times 1}{100\times 5}.

$$\frac{111}{500}+\frac{5}{100}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{111}{500}+\frac{1}{20}$$

Least common multiple of 500 and 20 is 500. Convert \frac{111}{500} and \frac{1}{20} to fractions with denominator 500.

$$\frac{111}{500}+\frac{25}{500}$$

Since \frac{111}{500} and \frac{25}{500} have the same denominator, add them by adding their numerators.

$$\frac{111+25}{500}$$

Add 111 and 25 to get 136.

$$\frac{136}{500}$$

Reduce the fraction \frac{136}{500} to lowest terms by extracting and canceling out 4.

$$\frac{34}{125}$$

Factor

$$\frac{2 \cdot 17}{5 ^ {3}} = 0.272$$