MATH
posted by ALYSSA .
THE STUDENTS FROM JEFFERSON SCHOOL TURNED A VACANT LOT INTO A VEGETABLE GARDEN. TOMATOES WERE PLANTED IN 4/5 OF THE GARDEN SPACE. CHERRY TOMATOES TOOK UP 1/6 OF THAT SPACE. WHAT PART OF THE GARDEN WAS PLANTED IN CHERRY TOMATOES?

1/6 times 4/5 = ??

Suppose the lot had an area of 60 sq ft.
Then 4/5 x 60 = 48 sq ft for tomatoes.
and 1/6 x 48 = 8 sq ft for cherry tomatoes. So We have 40 sq ft for ordinary tomatoes, 8 sq ft for cherry tomatoes, and the ratio of cherry tomatoes to the total space is 8/60 or 2/15. OR
1/6 x 4/5 = 4/30 = 2/15 without assuming value for area of the lot. Check my thinking. 
Thanks for helping me understand the problem.

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