A recipe for 1batch of muffins included 2/3 cup of raisins.Ina made 2 and 1/2 batches of muffins.how many cups of raisins did she use

2 1/2 = 5/2

(5/2)*(2/3) = 10/6 = 1 4/6 = 1 2/3 cups

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1 1/6

To find out how many cups of raisins Ina used, we need to first calculate the total number of cups of raisins for 1 batch of muffins, and then multiply it by the number of batches Ina made.

Given that 1 batch of muffins requires 2/3 cup of raisins, we can now calculate for 2 1/2 batches.

To multiply a whole number with a fraction, we multiply the whole number by the numerator of the fraction and keep the same denominator. Then we add the product to the product of the whole number and the denominator, which becomes the new numerator. The denominator remains the same.

For 2 1/2, multiply 2 by the numerator (2 * 2 = 4), and add it to the product of 2 and the denominator (2 * 2 = 4), resulting in the fraction 5/4.

So, for 1 batch, we have 2/3 cup of raisins, and for 2 1/2 batches, we have 5/4 times that amount.

To find this, we multiply the fractions: (2/3) * (5/4). When multiplying fractions, we multiply the numerators together (2 * 5 = 10) and the denominators together (3 * 4 = 12).

Therefore, Ina used 10/12 cups of raisins. Note that this fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2 in this case. So, 10/12 simplifies to 5/6.

In conclusion, Ina used 5/6 cups of raisins for the 2 1/2 batches of muffins.

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