Solve 32/5+13/7

$$3 \frac { 2 } { 5 } + 1 \frac { 3 } { 7 }$$

Evaluate

$$\frac{169}{35}\approx 4.828571429$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}+\frac{1\times 7+3}{7}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}+\frac{1\times 7+3}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{17}{5}+\frac{7+3}{7}$$

Add 7 and 3 to get 10.

$$\frac{17}{5}+\frac{10}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{17}{5} and \frac{10}{7} to fractions with denominator 35.

$$\frac{119}{35}+\frac{50}{35}$$

Since \frac{119}{35} and \frac{50}{35} have the same denominator, add them by adding their numerators.

$$\frac{119+50}{35}$$

Add 119 and 50 to get 169.

$$\frac{169}{35}$$

Factor

$$\frac{13 ^ {2}}{5 \cdot 7} = 4\frac{29}{35} = 4.828571428571428$$