Gina makes beaded brackets. In 3/4 hr, she can make 2/3 of a bracelet. What's Gina's rate?

Question

 I am not really understanding the whole concept of rates and how to divide them, like divide what number by what number.

Answer 1

Maddie, I assume the question is "What is Gina's rate of making beaded brackets per hour?" If that is the case, then let's look at what we have:

 

Gina finishes 2/3 of a bracket in 3/4 of an hour.

 

So to figure out how many brackets (or parts of a bracket) she would complete in an hour, first we have to get to an hour, and we do that by multiplying 3/4 of an hour by its reciprocal (or multiplicative inverse), which 4/3:

 

3/4 x 4/3 = 12/12 = 1

 

However, since we are multiplying the time  by 4/3, we also have to multiply the amount of brackets by 4/3:

 

2/3 x 4/3 = 8/9.

 

So Gina's rate is 8/9 of beaded bracket per hour. 

 

P.S. If you want to figure out how long it takes Gina to finish one bracket, you follow a similar process:

 

Since the problem tells us how long it takes Gina to finish 2/3 of a bracket, we have to multiply by the reciprocal, 3/2, to get 1 bracket:

 

2/3 x 3/2 = 6/6 = 1

 

Then we have to multiply the time by the same amount:

 

3/4 x 3/2 = 9/8.

 

So Gina finishes one bracket in 9/8 of an hour (or 1 and 1/8 hour).

Answer 2

Gina makes beaded brackets. In 3/4 hr, she can make 2/3 of a bracelet. What's Gina's rate? I think that the question is asking how many brackets she can make in one hour or how long it takes to make one bracket. To calculate how long it takes to make one divide 3/4 by 2/3. This gives the number of hours per bracket. It takes 9/8 or 1 1/8 hours to make one. 

 

If you want to know what she an produce in one hour, multiply 2/3 by 4/3. In one hour she can complete 8/9 bracket.