A bucket of paint holds 3 1/2 gallons of paint. Marci uses 2/3 of a bucket of paint. How many gallons of paint does she use?

(2/3) * (7/2) = ?

The answer is 2 1/3, But.

2 1/3 gallons were used.

Thanks Ms. Sue for your help

To find out how many gallons of paint Marci uses, you need to multiply the capacity of the bucket (3 1/2 gallons) by the fraction that represents the amount she uses (2/3).

Step 1: Convert the mixed number into an improper fraction.
The mixed number 3 1/2 can be expressed as an improper fraction by multiplying the whole number (3) by the denominator (2) and then adding the numerator (1). The result is 7/2.

Step 2: Multiply the improper fraction by the fraction representing the amount used.
To find out how much of the bucket Marci uses, multiply 7/2 by 2/3.
(7/2) * (2/3) = (7 * 2) / (2 * 3) = 14/6.

Step 3: Simplify the fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator (14) and denominator (6) and divide both by it.
The GCD of 14 and 6 is 2.
(14/2) / (6/2) = 7/3.

Therefore, Marci uses 7/3 gallons of paint.