Samar had 2 1/12 bags of apples. He used 1 5/12 bags of apples to make pies how many bags of apples does Samar have left?

3 answers

To find out how many bags of apples Samar has left after using some for pies, we need to subtract the amount of apples he used from the amount he had.

Samar had: \[ 2 \frac{1}{12} \text{ bags} \]

He used: \[ 1 \frac{5}{12} \text{ bags} \]

First, we convert these mixed numbers to improper fractions:

  1. Convert \( 2 \frac{1}{12} \): \[ 2 \frac{1}{12} = 2 \times 12 + 1 = \frac{24}{12} + \frac{1}{12} = \frac{25}{12} \]

  2. Convert \( 1 \frac{5}{12} \): \[ 1 \frac{5}{12} = 1 \times 12 + 5 = \frac{12}{12} + \frac{5}{12} = \frac{17}{12} \]

Now, we need to subtract \( \frac{17}{12} \) from \( \frac{25}{12} \):

\[ \frac{25}{12} - \frac{17}{12} = \frac{25 - 17}{12} = \frac{8}{12} \]

Now, we simplify \( \frac{8}{12} \): \[ \frac{8}{12} = \frac{2}{3} \text{ (dividing both the numerator and the denominator by 4)} \]

So, Samar has \( \frac{2}{3} \) bags of apples left.

Wrong the answers are.
A: 1 4/12 bags
B: 6/12 of a bag
C: 1 8/12 bags
D: 8/12 of a bag

Let's re-evaluate the subtraction to find out where the error was made.

Samar had: \[ 2 \frac{1}{12} \text{ bags} \]

He used: \[ 1 \frac{5}{12} \text{ bags} \]

First, let's convert these mixed numbers to improper fractions again.

  1. Convert \( 2 \frac{1}{12} \): \[ 2 \frac{1}{12} = 2 \times 12 + 1 = \frac{24}{12} + \frac{1}{12} = \frac{25}{12} \]

  2. Convert \( 1 \frac{5}{12} \): \[ 1 \frac{5}{12} = 1 \times 12 + 5 = \frac{12}{12} + \frac{5}{12} = \frac{17}{12} \]

Now, we need to subtract \( \frac{17}{12} \) from \( \frac{25}{12} \):

\[ \frac{25}{12} - \frac{17}{12} = \frac{25 - 17}{12} = \frac{8}{12} \]

Now we can simplify \( \frac{8}{12} \): \[ \frac{8}{12} = \frac{2}{3} \]

Now, let's convert \( \frac{2}{3} \) to a mixed number form:

  • \( \frac{2}{3} \) is less than 1, so it remains as \( \frac{2}{3} \).

To find the equivalent mixed number:

  • \( \frac{2}{3} \) does not fit into any whole bags.

Since \( \frac{8}{12} \) can be expressed as:

  • \( 8 \div 12 = 0\) remainder \(8\), which means \( \frac{8}{12} \) is equivalent to \( 0 \frac{8}{12} \).

Thus, \( \frac{8}{12} \) of a bag is indeed a correct answer.

Possible Equivalent Options:

Now, looking at your answers:

  • A: \( 1 \frac{4}{12} \) is equivalent to \( \frac{1}{3} \), which is incorrect.
  • B: \( \frac{6}{12} \) is equivalent to \( \frac{1}{2} \), which is incorrect.
  • C: \( 1 \frac{8}{12} \) is equivalent to \( 1 \frac{2}{3} \), which is incorrect.
  • D: \( \frac{8}{12} \) simplifies to \( \frac{2}{3} \), which is a valid answer.

Therefore, the closest equivalent fraction of bags of apples left that Samar has is indeed option D: \( 8/12 \) of a bag or equivalent to 2/3 of a bag.

I apologize for any confusion in the initial response. Thank you for your patience!