Solve 4/5+2/1+5/3

$$\frac{ 4 }{ 5 } + \frac{ 2 }{ 1 } + \frac{ 5 }{ 3 }$$

Evaluate

$$\frac{67}{15}\approx 4.466666667$$

Solution Steps

Anything divided by one gives itself.

$$\frac{4}{5}+2+\frac{5}{3}$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{4}{5}+\frac{10}{5}+\frac{5}{3}$$

Since \frac{4}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+10}{5}+\frac{5}{3}$$

Add 4 and 10 to get 14.

$$\frac{14}{5}+\frac{5}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{14}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{42}{15}+\frac{25}{15}$$

Since \frac{42}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{42+25}{15}$$

Add 42 and 25 to get 67.

$$\frac{67}{15}$$

Factor

$$\frac{67}{3 \cdot 5} = 4\frac{7}{15} = 4.466666666666667$$