# Please help!pam is mixing 3 1/5 batches of paint.if one batch calls for 2 3/4 tablespoons of detergent to add to the tempura powder,how many tablespoons of detergent will pam need?

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## To find out how many tablespoons of detergent Pam will need in total, we need to multiply the number of batches by the amount of detergent needed per batch.

1. Convert 3 1/5 to an improper fraction: 3 1/5 = (5*3 + 1)/5 = 16/5
2. Multiply the number of batches by the amount of detergent per batch:
16/5 * 2 3/4
3. Multiply the whole numbers: 16/5 * 2 = 32/5
4. Multiply the fractions: 16/5 * 3/4 = (16 * 3) / (5 * 4) = 48/20 = 12/5
5. Add the whole numbers and fractions together: 32/5 + 12/5 = 44/5

Therefore, Pam will need a total of 44/5 tablespoons of detergent.

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## To find the total number of tablespoons of detergent Pam will need, we can start by calculating the amount of detergent needed for one batch of paint.

One batch requires 2 3/4 tablespoons of detergent. To convert the mixed number 2 3/4 to an improper fraction, we need to multiply the whole number (2) by the denominator (4), and add the numerator (3), which gives us 11/4 tablespoons.

Now, Pam is mixing 3 1/5 batches of paint. To make the calculation easier, we can convert the mixed number 3 1/5 to an improper fraction. Multiplying the whole number (3) by the denominator (5) and adding the numerator (1), we get 16/5 batches.

To find the total amount of detergent needed, we multiply the amount needed for one batch (11/4 tablespoons) by the number of batches (16/5):

(11/4) * (16/5) = (11 * 16) / (4 * 5) = 176/20 = 8 8/20 = 8 2/5 tablespoons.

Therefore, Pam will need 8 2/5 tablespoons of detergent to mix 3 1/5 batches of paint.