Solve 7/7+2/17+77/13

$$\frac { 7 } { 7 } + \frac { 2 } { 17 } + \frac { 77 } { 13 }$$

Evaluate

$$\frac{1556}{221}\approx 7.040723982$$

Solution Steps

Divide 7 by 7 to get 1.

$$1+\frac{2}{17}+\frac{77}{13}$$

Convert 1 to fraction \frac{17}{17}.

$$\frac{17}{17}+\frac{2}{17}+\frac{77}{13}$$

Since \frac{17}{17} and \frac{2}{17} have the same denominator, add them by adding their numerators.

$$\frac{17+2}{17}+\frac{77}{13}$$

Add 17 and 2 to get 19.

$$\frac{19}{17}+\frac{77}{13}$$

Least common multiple of 17 and 13 is 221. Convert \frac{19}{17} and \frac{77}{13} to fractions with denominator 221.

$$\frac{247}{221}+\frac{1309}{221}$$

Since \frac{247}{221} and \frac{1309}{221} have the same denominator, add them by adding their numerators.

$$\frac{247+1309}{221}$$

Add 247 and 1309 to get 1556.

$$\frac{1556}{221}$$

Factor

$$\frac{2 ^ {2} \cdot 389}{13 \cdot 17} = 7\frac{9}{221} = 7.040723981900452$$