Question

youre putting away books from your bag. the bag is \\(\frac{9}{11}\\) filled with books. if you put away half of the books, what fraction of the books remains inside the bag to be put away? provide your answer in the simplest form.

select one of four

\\(\frac{9}{11}\\)

\\(\frac{7}{11}\\)

\\(\frac{9}{22}\\)

\\(\frac{18}{11}\\)

Explanation:

Identify the given values

The bag is filled to \(\frac{9}{11}\) of its capacity.
We put away half of these books.

Determine the remaining fraction

Putting away half means half remains.
We need to find \(\frac{1}{2}\) of \(\frac{9}{11}\).

Calculate the remaining books

Using the Fraction Multiplication knowledge point:

$$ \frac{1}{2} \times \frac{9}{11} = \frac{1 \times 9}{2 \times 11} = \frac{9}{22} $$

Simplify the resulting fraction

Using the Simplifying Fractions knowledge point:
The greatest common divisor of 9 and 22 is 1.
The fraction \(\frac{9}{22}\) is already in its simplest form.

Answer:

• (A) \(\frac{9}{11}\)
• (B) \(\frac{7}{11}\)
• (C) \(\frac{9}{22}\) (Correct answer)
• (D) \(\frac{18}{11}\)