Solve 1974/17+9434/131

$$19 \frac{ 74 }{ 17 } +94 \frac{ 34 }{ 131 }$$

Evaluate

$$\frac{261923}{2227}\approx 117.612483161$$

Solution Steps

Multiply 19 and 17 to get 323.

$$\frac{323+74}{17}+\frac{94\times 131+34}{131}$$

Add 323 and 74 to get 397.

$$\frac{397}{17}+\frac{94\times 131+34}{131}$$

Multiply 94 and 131 to get 12314.

$$\frac{397}{17}+\frac{12314+34}{131}$$

Add 12314 and 34 to get 12348.

$$\frac{397}{17}+\frac{12348}{131}$$

Least common multiple of 17 and 131 is 2227. Convert \frac{397}{17} and \frac{12348}{131} to fractions with denominator 2227.

$$\frac{52007}{2227}+\frac{209916}{2227}$$

Since \frac{52007}{2227} and \frac{209916}{2227} have the same denominator, add them by adding their numerators.

$$\frac{52007+209916}{2227}$$

Add 52007 and 209916 to get 261923.

$$\frac{261923}{2227}$$

Factor

$$\frac{37 \cdot 7079}{17 \cdot 131} = 117\frac{1364}{2227} = 117.61248316120341$$