Solve 3/7+13/5*1/3

$$\frac{ 3 }{ 7 } + \frac{ 13 }{ 5 } \times \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{136}{105}\approx 1.295238095$$

Solution Steps

Multiply \frac{13}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{7}+\frac{13\times 1}{5\times 3}$$

Do the multiplications in the fraction \frac{13\times 1}{5\times 3}.

$$\frac{3}{7}+\frac{13}{15}$$

Least common multiple of 7 and 15 is 105. Convert \frac{3}{7} and \frac{13}{15} to fractions with denominator 105.

$$\frac{45}{105}+\frac{91}{105}$$

Since \frac{45}{105} and \frac{91}{105} have the same denominator, add them by adding their numerators.

$$\frac{45+91}{105}$$

Add 45 and 91 to get 136.

$$\frac{136}{105}$$

Factor

$$\frac{2 ^ {3} \cdot 17}{3 \cdot 5 \cdot 7} = 1\frac{31}{105} = 1.2952380952380953$$