Solve 2*(0.1+1div2+0.08+0.15)

$$2 \times (0.1+1 \div 2+0.08+0.15)$$

Evaluate

$$1.66$$

Solution Steps

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$2\left(\frac{1}{10}+\frac{1}{2}+0.08+0.15\right)$$

Least common multiple of 10 and 2 is 10. Convert \frac{1}{10} and \frac{1}{2} to fractions with denominator 10.

$$2\left(\frac{1}{10}+\frac{5}{10}+0.08+0.15\right)$$

Since \frac{1}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$2\left(\frac{1+5}{10}+0.08+0.15\right)$$

Add 1 and 5 to get 6.

$$2\left(\frac{6}{10}+0.08+0.15\right)$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$2\left(\frac{3}{5}+0.08+0.15\right)$$

Convert decimal number 0.08 to fraction \frac{8}{100}. Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$2\left(\frac{3}{5}+\frac{2}{25}+0.15\right)$$

Least common multiple of 5 and 25 is 25. Convert \frac{3}{5} and \frac{2}{25} to fractions with denominator 25.

$$2\left(\frac{15}{25}+\frac{2}{25}+0.15\right)$$

Since \frac{15}{25} and \frac{2}{25} have the same denominator, add them by adding their numerators.

$$2\left(\frac{15+2}{25}+0.15\right)$$

Add 15 and 2 to get 17.

$$2\left(\frac{17}{25}+0.15\right)$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$2\left(\frac{17}{25}+\frac{3}{20}\right)$$

Least common multiple of 25 and 20 is 100. Convert \frac{17}{25} and \frac{3}{20} to fractions with denominator 100.

$$2\left(\frac{68}{100}+\frac{15}{100}\right)$$

Since \frac{68}{100} and \frac{15}{100} have the same denominator, add them by adding their numerators.

$$2\times \frac{68+15}{100}$$

Add 68 and 15 to get 83.

$$2\times \frac{83}{100}$$

Express 2\times \frac{83}{100} as a single fraction.

$$\frac{2\times 83}{100}$$

Multiply 2 and 83 to get 166.

$$\frac{166}{100}$$

Reduce the fraction \frac{166}{100} to lowest terms by extracting and canceling out 2.

$$\frac{83}{50}$$

Factor

$$\frac{83}{2 \cdot 5 ^ {2}} = 1\frac{33}{50} = 1.66$$