Solve 9/(9div8)+7

$$\frac{ 9 }{ (9 \div 8)+7 }$$

Evaluate

$$\frac{72}{65}\approx 1.107692308$$

Solution Steps

Convert 7 to fraction \frac{56}{8}.

$$\frac{9}{\frac{9}{8}+\frac{56}{8}}$$

Since \frac{9}{8} and \frac{56}{8} have the same denominator, add them by adding their numerators.

$$\frac{9}{\frac{9+56}{8}}$$

Add 9 and 56 to get 65.

$$\frac{9}{\frac{65}{8}}$$

Divide 9 by \frac{65}{8} by multiplying 9 by the reciprocal of \frac{65}{8}.

$$9\times \frac{8}{65}$$

Express 9\times \frac{8}{65} as a single fraction.

$$\frac{9\times 8}{65}$$

Multiply 9 and 8 to get 72.

$$\frac{72}{65}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{5 \cdot 13} = 1\frac{7}{65} = 1.1076923076923078$$