Solve 0.236-0.218/1858-1720*(1850-1820)+0.218

$$\frac{ 0.236-0.218 }{ 1858-1720 } \times (1850-1820)+0.218$$

Evaluate

$$\frac{638}{2875}\approx 0.221913043$$

Solution Steps

Subtract 0.218 from 0.236 to get 0.018.

$$\frac{0.018}{1858-1720}\left(1850-1820\right)+0.218$$

Subtract 1720 from 1858 to get 138.

$$\frac{0.018}{138}\left(1850-1820\right)+0.218$$

Expand \frac{0.018}{138} by multiplying both numerator and the denominator by 1000.

$$\frac{18}{138000}\left(1850-1820\right)+0.218$$

Reduce the fraction \frac{18}{138000} to lowest terms by extracting and canceling out 6.

$$\frac{3}{23000}\left(1850-1820\right)+0.218$$

Subtract 1820 from 1850 to get 30.

$$\frac{3}{23000}\times 30+0.218$$

Express \frac{3}{23000}\times 30 as a single fraction.

$$\frac{3\times 30}{23000}+0.218$$

Multiply 3 and 30 to get 90.

$$\frac{90}{23000}+0.218$$

Reduce the fraction \frac{90}{23000} to lowest terms by extracting and canceling out 10.

$$\frac{9}{2300}+0.218$$

Convert decimal number 0.218 to fraction \frac{218}{1000}. Reduce the fraction \frac{218}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2300}+\frac{109}{500}$$

Least common multiple of 2300 and 500 is 11500. Convert \frac{9}{2300} and \frac{109}{500} to fractions with denominator 11500.

$$\frac{45}{11500}+\frac{2507}{11500}$$

Since \frac{45}{11500} and \frac{2507}{11500} have the same denominator, add them by adding their numerators.

$$\frac{45+2507}{11500}$$

Add 45 and 2507 to get 2552.

$$\frac{2552}{11500}$$

Reduce the fraction \frac{2552}{11500} to lowest terms by extracting and canceling out 4.

$$\frac{638}{2875}$$

Factor

$$\frac{2 \cdot 11 \cdot 29}{23 \cdot 5 ^ {3}} = 0.22191304347826088$$