Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juice will Sally need if she uses 2 cups of pineapple juice?

5 1/3

Step-by-step explanation:

Set up ratio.

2/3 cup orange juice    X    2 cups  pineapple juice

———————————-

1/4 cup pineapple juice

first multiply numerator :  2/3 x 2   =  4/3

and divide by denominator

(4/3)/(1/4). Keep the first.  Change the sign to multiplication and Flip the second fraction.

4/3 x 4/1 = 16/3

change to proper fraction :  16/3 = 5 1/3 cups

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.