Solve 35/14+117/21

$$3 \frac{ 5 }{ 14 } +1 \frac{ 17 }{ 21 }$$

Evaluate

$$\frac{31}{6}\approx 5.166666667$$

Solution Steps

Multiply 3 and 14 to get 42.

$$\frac{42+5}{14}+\frac{1\times 21+17}{21}$$

Add 42 and 5 to get 47.

$$\frac{47}{14}+\frac{1\times 21+17}{21}$$

Multiply 1 and 21 to get 21.

$$\frac{47}{14}+\frac{21+17}{21}$$

Add 21 and 17 to get 38.

$$\frac{47}{14}+\frac{38}{21}$$

Least common multiple of 14 and 21 is 42. Convert \frac{47}{14} and \frac{38}{21} to fractions with denominator 42.

$$\frac{141}{42}+\frac{76}{42}$$

Since \frac{141}{42} and \frac{76}{42} have the same denominator, add them by adding their numerators.

$$\frac{141+76}{42}$$

Add 141 and 76 to get 217.

$$\frac{217}{42}$$

Reduce the fraction \frac{217}{42} to lowest terms by extracting and canceling out 7.

$$\frac{31}{6}$$

Factor

$$\frac{31}{2 \cdot 3} = 5\frac{1}{6} = 5.166666666666667$$