Solve 3/5+6/7+8/4

$$\frac { 3 } { 5 } + \frac { 6 } { 7 } + \frac { 8 } { 4 }$$

Evaluate

$$\frac{121}{35}\approx 3.457142857$$

Solution Steps

Least common multiple of 5 and 7 is 35. Convert \frac{3}{5} and \frac{6}{7} to fractions with denominator 35.

$$\frac{21}{35}+\frac{30}{35}+\frac{8}{4}$$

Since \frac{21}{35} and \frac{30}{35} have the same denominator, add them by adding their numerators.

$$\frac{21+30}{35}+\frac{8}{4}$$

Add 21 and 30 to get 51.

$$\frac{51}{35}+\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$\frac{51}{35}+2$$

Convert 2 to fraction \frac{70}{35}.

$$\frac{51}{35}+\frac{70}{35}$$

Since \frac{51}{35} and \frac{70}{35} have the same denominator, add them by adding their numerators.

$$\frac{51+70}{35}$$

Add 51 and 70 to get 121.

$$\frac{121}{35}$$

Factor

$$\frac{11 ^ {2}}{5 \cdot 7} = 3\frac{16}{35} = 3.4571428571428573$$