If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars? Wr

If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars? Write your answer as a fraction of a box.

Set up a proportion of dollars to boxes where b is the number of boxes for $4:
6/1/3 = 4/b

Cross multiply:
6b = 4/3

Multiply each side by 1/6 to isolate b:
b = 4/18

Type in GCF(4,18) into the search engine. We get a greatest common factor of 2.

Divide 4 and 18 in the fraction by 2. We get the reduced fraction of:
b = 2/9