2/3 (0.666) quantities fills one dispenser.
Step-by-step explanation:
Step 1; It is given that 2 1/3 amount of some liquid fills up 3 1/2 dispensers. First, we must convert the mixed fractions into improper fractions. To do that we multiply the number with the denominator and add with it the numerator whereas the denominator remains the same. To convert the fraction
2 1/3 we multiply the 2 with the 3 and add it with 1 while denominator remains 3, so 2 1/3 becomes 7/3. Similarly the fraction 3 1/2 converts into 7/2.
Step 2; So we have 7/3 quantities of liquid fills 7/2 dispensers. We multiply both sides by 2/7 so that the right side of the equation becomes 1 and the left side of the equation indicates the amount of liquid in 1 dispenser.
7/3 * 2/7 = 7/2 * 2/7 , 14/21 = 1 dispenser. So 14/21 = 2/3. So 2/3 or 0.666 quantity of liquid fills one dispenser.