To find the simplest form of 2 7/9 divided by 2, convert the mixed number to an improper fraction (25/9), then multiply by the reciprocal of 2 (1/2), resulting in 25/18, which is already in simplest form.
Step-by-step explanation:
The question asks for the simplest form of the expression 2 7/9 divided by 2. We can start by converting the mixed number 2 7/9 to an improper fraction, which becomes 25/9. To divide by 2, we can multiply by its reciprocal, which is 1/2. Now, we perform the multiplication 25/9 × 1/2.
Here are the steps for the calculation:
Convert the mixed number to an improper fraction: 2 7/9 = 25/9.
Write the division as multiplication by the reciprocal: 25/9 × 1/2.
Multiply the numerators: 25 × 1 = 25.
Multiply the denominators: 9 × 2 = 18.
Combine into a single fraction: 25/18, which cannot be simplified further since 25 and 18 have no common factors other than 1.
Thus, the expression 2 7/9 divided by 2 in simplest form is 25/18.