Solve 35/7+13/14=

$$3 \frac { 5 } { 7 } + 1 \frac { 3 } { 14 } =$$

Evaluate

$$\frac{69}{14}\approx 4.928571429$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+5}{7}+\frac{1\times 14+3}{14}$$

Add 21 and 5 to get 26.

$$\frac{26}{7}+\frac{1\times 14+3}{14}$$

Multiply 1 and 14 to get 14.

$$\frac{26}{7}+\frac{14+3}{14}$$

Add 14 and 3 to get 17.

$$\frac{26}{7}+\frac{17}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{26}{7} and \frac{17}{14} to fractions with denominator 14.

$$\frac{52}{14}+\frac{17}{14}$$

Since \frac{52}{14} and \frac{17}{14} have the same denominator, add them by adding their numerators.

$$\frac{52+17}{14}$$

Add 52 and 17 to get 69.

$$\frac{69}{14}$$

Factor

$$\frac{3 \cdot 23}{2 \cdot 7} = 4\frac{13}{14} = 4.928571428571429$$