Find the product in lowest terms. $$ \frac{1}{11} \cdot \frac{11}{9} $$

Question

UpStudy AI · Accepted Answer

To find the product of $$\frac{1}{11}$$ and $$\frac{11}{9}$$ in its lowest terms, follow these steps:

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

$$
   \frac{1}{11} \times \frac{11}{9} = \frac{1 \times 11}{11 \times 9} = \frac{11}{99}
   $$

2. **Simplify the Fraction:**

Both the numerator and the denominator are divisible by 11.

$$
   \frac{11 \div 11}{99 \div 11} = \frac{1}{9}
   $$

So, the product in lowest terms is $$\boxed{\dfrac{1}{9}}$$.
The product in lowest terms is $$\frac{1}{9}$$.

Find the product in lowest terms. \[ \frac{1}{11} \cdot \frac{11}{9} \]