Solve 6/11+3/11+10/17+16/17=

$$\frac { 6 } { 11 } + \frac { 3 } { 11 } + \frac { 10 } { 17 } + \frac { 16 } { 17 } =$$

Evaluate

$$\frac{439}{187}\approx 2.347593583$$

Solution Steps

Since \frac{6}{11} and \frac{3}{11} have the same denominator, add them by adding their numerators.

$$\frac{6+3}{11}+\frac{10}{17}+\frac{16}{17}$$

Add 6 and 3 to get 9.

$$\frac{9}{11}+\frac{10}{17}+\frac{16}{17}$$

Least common multiple of 11 and 17 is 187. Convert \frac{9}{11} and \frac{10}{17} to fractions with denominator 187.

$$\frac{153}{187}+\frac{110}{187}+\frac{16}{17}$$

Since \frac{153}{187} and \frac{110}{187} have the same denominator, add them by adding their numerators.

$$\frac{153+110}{187}+\frac{16}{17}$$

Add 153 and 110 to get 263.

$$\frac{263}{187}+\frac{16}{17}$$

Least common multiple of 187 and 17 is 187. Convert \frac{263}{187} and \frac{16}{17} to fractions with denominator 187.

$$\frac{263}{187}+\frac{176}{187}$$

Since \frac{263}{187} and \frac{176}{187} have the same denominator, add them by adding their numerators.

$$\frac{263+176}{187}$$

Add 263 and 176 to get 439.

$$\frac{439}{187}$$

Factor

$$\frac{439}{11 \cdot 17} = 2\frac{65}{187} = 2.3475935828877006$$