Answer:
15/16
Explanation:
Easy Way:
To make a fraction equal to one, we multiply its reciprocal. This means that 2/3 must be multiplied by 3/2 to equal 6/6, which equals one.
Since we multiplied 3/2 to one side, we have to do it to the other side to balance it out. 5/8 times 3/2 equals 15/16 inches of rain in one hour.
Another way that is different with more steps (if your brain works this way):
In order to make a fraction into a whole number we have to multiply by its denominator. Right now, we have 2/3 of an hour. If we multiply this by 3, we can get 6/3 which simplifies to 2 hours.
We have to multiply the other side by 3 since both sides need to be balanced. 3 times 5/8 is 15/8.
This leaves us with 15/8 inches of rain falling in 2 hours. To get how much inches fall in one hour, we can divide 15/8 by two. This means multiplying 15/8 by 1/2, which equals 15/16.