Solve 7*(1/3+4/5)

$$7 \times ( \frac { 1 } { 3 } + \frac { 4 } { 5 } )$$

Evaluate

$$\frac{119}{15}\approx 7.933333333$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{4}{5} to fractions with denominator 15.

$$7\left(\frac{5}{15}+\frac{12}{15}\right)$$

Since \frac{5}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$7\times \frac{5+12}{15}$$

Add 5 and 12 to get 17.

$$7\times \frac{17}{15}$$

Express 7\times \frac{17}{15} as a single fraction.

$$\frac{7\times 17}{15}$$

Multiply 7 and 17 to get 119.

$$\frac{119}{15}$$

Factor

$$\frac{7 \cdot 17}{3 \cdot 5} = 7\frac{14}{15} = 7.933333333333334$$