Solve 5/9div5+5div5/9=

$$\frac { 5 } { 9 } \div 5 + 5 \div \frac { 5 } { 9 } =$$

Evaluate

$$\frac{82}{9}\approx 9.111111111$$

Solution Steps

Express \frac{\frac{5}{9}}{5} as a single fraction.

$$\frac{5}{9\times 5}+\frac{5}{\frac{5}{9}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{9}+\frac{5}{\frac{5}{9}}$$

Divide 5 by \frac{5}{9} by multiplying 5 by the reciprocal of \frac{5}{9}.

$$\frac{1}{9}+5\times \frac{9}{5}$$

Cancel out 5 and 5.

$$\frac{1}{9}+9$$

Convert 9 to fraction \frac{81}{9}.

$$\frac{1}{9}+\frac{81}{9}$$

Since \frac{1}{9} and \frac{81}{9} have the same denominator, add them by adding their numerators.

$$\frac{1+81}{9}$$

Add 1 and 81 to get 82.

$$\frac{82}{9}$$

Factor

$$\frac{2 \cdot 41}{3 ^ {2}} = 9\frac{1}{9} = 9.11111111111111$$