Solve 2/5+3/13*39/5

$$\frac{ 2 }{ 5 } + \frac{ 3 }{ 13 } \times \frac{ 39 }{ 5 }$$

Evaluate

$$\frac{11}{5}=2.2$$

Solution Steps

Multiply \frac{3}{13} times \frac{39}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}+\frac{3\times 39}{13\times 5}$$

Do the multiplications in the fraction \frac{3\times 39}{13\times 5}.

$$\frac{2}{5}+\frac{117}{65}$$

Reduce the fraction \frac{117}{65} to lowest terms by extracting and canceling out 13.

$$\frac{2}{5}+\frac{9}{5}$$

Since \frac{2}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+9}{5}$$

Add 2 and 9 to get 11.

$$\frac{11}{5}$$

Factor

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$