My class is mixing 3 1/5 batches of paint. If one batch calls for calls for 2 3/4 tablespoons of detergent to be added to the powder, how many tablespoons of detergent will my class need?
My class will need about 8 3/4 tablespoons of detergent. Is this correct
It's almost right.
Please figure it again.
6 3/20
To find how many tablespoons of detergent your class will need, you need to multiply the number of batches by the amount of detergent needed per batch.
First, let's convert the mixed number 3 1/5 to an improper fraction:
3 1/5 = (3 x 5 + 1)/5 = 16/5
Next, multiply the number of batches (16/5) by the amount of detergent needed per batch (2 3/4 tablespoons) using fraction multiplication:
(16/5) x (2 3/4) = (16/5) x (11/4)
To multiply fractions, multiply the numerators together and multiply the denominators together:
= (16 x 11) / (5 x 4) = 176/20
Simplifying this fraction to its lowest terms, we get:
= 8 8/20
To further simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 4:
= (8 ÷ 4) / (20 ÷ 4)
= 2/5
So the answer is 2/5 tablespoons.
However, you mentioned that your class will "need about 8 3/4 tablespoons." It seems there was a mistake in the calculation. The correct answer should be 2/5 tablespoons, not 8 3/4 tablespoons.