Solve 29/17-11/5

$$2 \frac { 9 } { 17 } - 1 \frac { 1 } { 5 }$$

Evaluate

$$\frac{113}{85}\approx 1.329411765$$

Solution Steps

Multiply 2 and 17 to get 34.

$$\frac{34+9}{17}-\frac{1\times 5+1}{5}$$

Add 34 and 9 to get 43.

$$\frac{43}{17}-\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{43}{17}-\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{43}{17}-\frac{6}{5}$$

Least common multiple of 17 and 5 is 85. Convert \frac{43}{17} and \frac{6}{5} to fractions with denominator 85.

$$\frac{215}{85}-\frac{102}{85}$$

Since \frac{215}{85} and \frac{102}{85} have the same denominator, subtract them by subtracting their numerators.

$$\frac{215-102}{85}$$

Subtract 102 from 215 to get 113.

$$\frac{113}{85}$$

Factor

$$\frac{113}{5 \cdot 17} = 1\frac{28}{85} = 1.3294117647058823$$