Solve 12/3+1/5quad(4)

$$1 \frac { 2 } { 3 } + \frac { 1 } { 5 } \quad ( 4 )$$

Evaluate

$$\frac{37}{15}\approx 2.466666667$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

Multiply \frac{1}{5} and 4 to get \frac{4}{5}.

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

Least common multiple of 3 and 5 is 15. Convert \frac{5}{3} and \frac{4}{5} to fractions with denominator 15.

$$\frac{25}{15}+\frac{12}{15}$$

Since \frac{25}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$\frac{25+12}{15}$$

Add 25 and 12 to get 37.

$$\frac{37}{15}$$

Factor

$$\frac{37}{3 \cdot 5} = 2\frac{7}{15} = 2.466666666666667$$