1 cup of lemon-lime : 1 1/2 cups of punch
Find the unit rate.
Ok, I know the unit rate but I need to show how I got it. Could anyone tell me how to find this.
1 : 3/2 = 2/3 : 1
that is 2/3 cup of lemon per cup of punch
To find the unit rate in this scenario, you need to divide the amount of lemon-lime by the amount of punch. In this case, the ratio is 1 cup of lemon-lime to 1 1/2 cups of punch.
To convert the mixed number 1 1/2 into a improper fraction, you multiply the whole number (1) by the denominator of the fraction (2) and add the numerator (1). So, 1 1/2 is equal to 3/2.
Now you can set up the division:
1 cup of lemon-lime ÷ 3/2 cups of punch
When you divide by a fraction, you need to multiply by its reciprocal:
1 cup of lemon-lime × 2/3 cups of punch
Multiplying the numerator (1) by 2 gives you 2, and multiplying the denominator (3) by 1 gives you 3. So, the unit rate is:
2/3 cups of lemon-lime per cup of punch.
Remember, the unit rate represents the amount of lemon-lime for each cup of punch.