Solve 1/38+1/29

$$\frac{ 1 }{ 3 } 8+ \frac{ 1 }{ 2 } 9$$

Evaluate

$$\frac{43}{6}\approx 7.166666667$$

Solution Steps

Multiply \frac{1}{3} and 8 to get \frac{8}{3}.

$$\frac{8}{3}+\frac{1}{2}\times 9$$

Multiply \frac{1}{2} and 9 to get \frac{9}{2}.

$$\frac{8}{3}+\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{9}{2} to fractions with denominator 6.

$$\frac{16}{6}+\frac{27}{6}$$

Since \frac{16}{6} and \frac{27}{6} have the same denominator, add them by adding their numerators.

$$\frac{16+27}{6}$$

Add 16 and 27 to get 43.

$$\frac{43}{6}$$

Factor

$$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$$