Evaluate:

Question

4, one half, times, start fraction, 5, divided by, 9, end fraction
4
2
1
​
×
9
5
​

State your answer as a mixed number in simplest form.
State your answer as a mixed number in simplest form.

Answer 1

To evaluate \( 4 \times \frac{1}{2} \times \frac{5}{9} \), we'll follow these steps:

1. First, calculate \( 4 \times \frac{1}{2} \): \[ 4 \times \frac{1}{2} = \frac{4}{1} \times \frac{1}{2} = \frac{4 \times 1}{1 \times 2} = \frac{4}{2} = 2. \]

2. Next, multiply this result by \( \frac{5}{9} \): \[ 2 \times \frac{5}{9} = \frac{2}{1} \times \frac{5}{9} = \frac{2 \times 5}{1 \times 9} = \frac{10}{9}. \]

Now we have \( \frac{10}{9} \).

3. To express \( \frac{10}{9} \) as a mixed number, divide the numerator by the denominator:
   • \( 10 \div 9 = 1 \) with a remainder of \( 1 \).

So, we can express \( \frac{10}{9} \) as: \[ 1 \frac{1}{9}. \]

Thus, the answer as a mixed number in simplest form is: \[ \boxed{1 \frac{1}{9}}. \]