Solve 3/7+8/8+5/6=

$$\frac { 3 } { 7 } + \frac { 8 } { 8 } + \frac { 5 } { 6 } =$$

Evaluate

$$\frac{95}{42}\approx 2.261904762$$

Solution Steps

Divide 8 by 8 to get 1.

$$\frac{3}{7}+1+\frac{5}{6}$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{3}{7}+\frac{7}{7}+\frac{5}{6}$$

Since \frac{3}{7} and \frac{7}{7} have the same denominator, add them by adding their numerators.

$$\frac{3+7}{7}+\frac{5}{6}$$

Add 3 and 7 to get 10.

$$\frac{10}{7}+\frac{5}{6}$$

Least common multiple of 7 and 6 is 42. Convert \frac{10}{7} and \frac{5}{6} to fractions with denominator 42.

$$\frac{60}{42}+\frac{35}{42}$$

Since \frac{60}{42} and \frac{35}{42} have the same denominator, add them by adding their numerators.

$$\frac{60+35}{42}$$

Add 60 and 35 to get 95.

$$\frac{95}{42}$$

Factor

$$\frac{5 \cdot 19}{2 \cdot 3 \cdot 7} = 2\frac{11}{42} = 2.261904761904762$$