Question

What is the unit rate of 13/2 pounds per 3/4 quart?

Answer 1

Answer:

26/3 or 8.66666 (8.6 with a line over the 6)

Step-by-step explanation:

According to the problem, 13/2 pounds is only 3/4 of a quart. A unit rate, however, has a denominator value of 1. To solve this question, we must change the value of 3/4 to 1.

The first step to this is changing 3/4 to 1/4. This means affecting the value 13/2 pounds. 1/4 is a third of 3/4. We must find a third of 13/2 to properly change this relationship. So, we should do 13/2 ÷ 3. This can also be written as 13/2*3. So, a third of 13/2 is 13/6. Our new relationship is 13/6 pounds = 1/4 quart.

Now, we can multiply 13/6 and 1/4 by 4 to get ? and 4/4, or 1. We can multiply the numerator by 4 to finish this step. 13/6 becomes 13*4/6, which equals 52/6. 52/6 can be divided by 2 to simplify the fraction and becomes 26/3.

So, the unit rate of 13/2 pounds per 3/4 quart is 26/3. 26/3 can also be written as 8.66666, or 8.6 with a line over the 6, in decimal form.