Evaluate: 23/11 \approx 2.090909091

Evaluate: $\frac{23}{11}\approx 2.090909091$

Express $\frac{\frac{14\times 11+7}{11}}{7}$ as a single fraction.

$$\frac{14\times 11+7}{11\times 7}$$

Multiply $14$ and $11$ to get $154$.

$$\frac{154+7}{11\times 7}$$

Add $154$ and $7$ to get $161$.

$$\frac{161}{11\times 7}$$

Multiply $11$ and $7$ to get $77$.

$$\frac{161}{77}$$

Reduce the fraction $\frac{161}{77}$ to lowest terms by extracting and canceling out $7$.

$$\frac{23}{11}$$