Karen will divide her garden into equal parts. She will plant corn in 12/20 of the garden. What is the fewest number of parts she can divided her garden into?

The garden is divided into 12 parts. Karen will plant corn on 8/12 of the garden (or 2/3 of the garden, if both the numerator and denominator are divided by 4). Therefore, the fewest number of parts she can divide her garden into is 3.

Step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a