Question

A pool fills with water at a rate of 5 1/4 gallons every 2/3 minute how many gallons fill the pool in one minute

Answer 1

If you know what happens in 2/3 of a minute, multiply that number by 3/2 to see what happens in a minute. This is true because you have the proportion

$5\dfrac{1}{4}\div \dfrac{2}{3}=x\div 1$

And solving for x you have

$\dfrac{2}{3}x=5\dfrac{1}{4} \iff x=5\dfrac{1}{4}\cdot \dfrac{3}{2}$

Getting rid of mixed fraction, we have 5 1/4=21/4, and thus the final answer is

$\dfrac{21}{4}\cdot\dfrac{3}{2}=\dfrac{63}{8}$

Answer 2

63/8 I can send the site to easily get these answers