One tank s filling at a rate of 3/4 gallon per 2/3 minute . a second tank is filling at a rate of 5/8 gallon per 1/2 minute. which tank is filling faster ?

This is an easy question. All required information's are provided in the question. In the first case it is given that the tank is getting filled at a rate of 3/4 gallon per 2/3 minute. So by getting the speed of filling we can compare this withe the speed at which the second tank is getting filled. The second tank fills at a rate of 5/8 gallon in 1/2 minute.
If we take the case of the first tank, then,
Speed of filling the first tank = (3/4) * (3/2)
                                              = 9/8
So the first tank is filled at the rate of 9/8 gallons per minute.
Now if we take the case of the second tank, then,
Speed of filling the second tank = (5/8) * 2
                                                   = 10/8
So the second tank fills at the rate of 10/8 gallons per minute.
Now we can say that the second tank is getting filled at a faster rate.

Idon’t know actually i’m in 5th grade and don’t know

Hello!

the answer is:

the answer is:

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!