Simplify the complex fraction $$ \frac{5}{2 / 9} $$

Question

UpStudy AI · Accepted Answer

To simplify the complex fraction $$ \frac{5}{\frac{2}{9}} $$, follow these steps:

1. **Understand the Structure**: The expression is a division of two numbers, where the numerator is 5 and the denominator is $$ \frac{2}{9} $$.

2. **Divide by a Fraction**: Dividing by a fraction is the same as multiplying by its reciprocal. So,

$$
   \frac{5}{\frac{2}{9}} = 5 \times \frac{9}{2}
   $$

3. **Multiply the Numerators and Denominators**:

$$
   5 \times \frac{9}{2} = \frac{5 \times 9}{2} = \frac{45}{2}
   $$

4. **Final Answer**:

$$
   \frac{45}{2}
   $$

Alternatively, if you prefer a mixed number:

$$
   22 \frac{1}{2}
   $$

**Answer:** 
$$\dfrac{45}{2}$$ or $$22\,\dfrac{1}{2}$$
$$\frac{45}{2}$$ or $$22 \frac{1}{2}$$

Simplify the complex fraction \( \frac{5}{2 / 9} \)