Solve 114/17-34/13

$$11 \frac { 4 } { 17 } - 3 \frac { 4 } { 13 }$$

Evaluate

$$\frac{1752}{221}\approx 7.92760181$$

Solution Steps

Multiply 11 and 17 to get 187.

$$\frac{187+4}{17}-\frac{3\times 13+4}{13}$$

Add 187 and 4 to get 191.

$$\frac{191}{17}-\frac{3\times 13+4}{13}$$

Multiply 3 and 13 to get 39.

$$\frac{191}{17}-\frac{39+4}{13}$$

Add 39 and 4 to get 43.

$$\frac{191}{17}-\frac{43}{13}$$

Least common multiple of 17 and 13 is 221. Convert \frac{191}{17} and \frac{43}{13} to fractions with denominator 221.

$$\frac{2483}{221}-\frac{731}{221}$$

Since \frac{2483}{221} and \frac{731}{221} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2483-731}{221}$$

Subtract 731 from 2483 to get 1752.

$$\frac{1752}{221}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 73}{13 \cdot 17} = 7\frac{205}{221} = 7.927601809954751$$