Solve 3/8+frac{5{6}}

$$\frac{ 3 }{ 8+ \frac{ 5 }{ 6 } }$$

Evaluate

$$\frac{18}{53}\approx 0.339622642$$

Solution Steps

Convert 8 to fraction \frac{48}{6}.

$$\frac{3}{\frac{48}{6}+\frac{5}{6}}$$

Since \frac{48}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{3}{\frac{48+5}{6}}$$

Add 48 and 5 to get 53.

$$\frac{3}{\frac{53}{6}}$$

Divide 3 by \frac{53}{6} by multiplying 3 by the reciprocal of \frac{53}{6}.

$$3\times \frac{6}{53}$$

Express 3\times \frac{6}{53} as a single fraction.

$$\frac{3\times 6}{53}$$

Multiply 3 and 6 to get 18.

$$\frac{18}{53}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{53} = 0.33962264150943394$$