Solve 16-14/1858-1720*(1850-1720)+14

$$\frac{ 16-14 }{ 1858-1720 } \times (1850-1720)+14$$

Evaluate

$$\frac{1096}{69}\approx 15.884057971$$

Solution Steps

Subtract 14 from 16 to get 2.

$$\frac{2}{1858-1720}\left(1850-1720\right)+14$$

Subtract 1720 from 1858 to get 138.

$$\frac{2}{138}\left(1850-1720\right)+14$$

Reduce the fraction \frac{2}{138} to lowest terms by extracting and canceling out 2.

$$\frac{1}{69}\left(1850-1720\right)+14$$

Subtract 1720 from 1850 to get 130.

$$\frac{1}{69}\times 130+14$$

Multiply \frac{1}{69} and 130 to get \frac{130}{69}.

$$\frac{130}{69}+14$$

Convert 14 to fraction \frac{966}{69}.

$$\frac{130}{69}+\frac{966}{69}$$

Since \frac{130}{69} and \frac{966}{69} have the same denominator, add them by adding their numerators.

$$\frac{130+966}{69}$$

Add 130 and 966 to get 1096.

$$\frac{1096}{69}$$

Factor

$$\frac{2 ^ {3} \cdot 137}{3 \cdot 23} = 15\frac{61}{69} = 15.884057971014492$$