A scientist is mixing a chemical solution for an experiment. The solution contains 3/8 ounce of a chemical and 1/6 ounce saline solution. What is the unit rate of chemical to saline solution?
9/4
The answer is 4
To find the unit rate of chemical to saline solution, we need to divide the amount of chemical by the amount of saline solution.
The amount of chemical is given as 3/8 ounce, and the amount of saline solution is given as 1/6 ounce.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/6 is 6/1.
So, we can calculate the unit rate as follows:
(3/8) ÷ (1/6) = (3/8) × (6/1)
To multiply fractions, we multiply the numerators (top numbers) and denominators (bottom numbers) separately.
3 × 6 = 18
8 × 1 = 8
Therefore, the unit rate of chemical to saline solution is 18/8.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
18 ÷ 2 = 9
8 ÷ 2 = 4
So, the simplified unit rate of chemical to saline solution is 9/4.
Therefore, the unit rate of chemical to saline solution is 9/4 (or 2.25).