during a rainstorm, a pail collects \\frac{1}{3} of an inch of water in \\frac{5}{6} of a minute. at what…

during a rainstorm, a pail collects \\frac{1}{3} of an inch of water in \\frac{5}{6} of a minute. at what rate is the pail collecting water? simplify your answer and write it as a proper fraction, mixed number, or whole number. inches per minute

during a rainstorm, a pail collects \\frac{1}{3} of an inch of water in \\frac{5}{6} of a minute. at what rate is the pail collecting water? simplify your answer and write it as a proper fraction, mixed number, or whole number. inches per minute

Answer

Explanation:

Step1: Recall the formula for rate

Rate = (\frac{\text{Amount of water}}{\text{Time}}). Here, the amount of water is (\frac{1}{3}) inch and the time is (\frac{5}{6}) minute. So the rate (r=\frac{\frac{1}{3}}{\frac{5}{6}}).

Step2: Divide the fractions

When dividing by a fraction, we multiply by its reciprocal. So (r = \frac{1}{3}\times\frac{6}{5}).

Step3: Simplify the product

(\frac{1\times6}{3\times5}=\frac{6}{15}). Then simplify (\frac{6}{15}) by dividing numerator and denominator by 3. We get (\frac{6\div3}{15\div3}=\frac{2}{5}).

Answer:

(\frac{2}{5})