Millie and Joan have 5/6 of a room painted. Joan painted 1/5 of the room. How much of the room did Millie paint?

Question

Answered in simplest form

Answer 1

Find the LCM of 6 and 5 (the denominators)=30.

Now we can express the two fractions in 30ths: 5/6=5*5/(6*5)=25/30 and 1/5=1*6/(5*6)=6/30.

The room is 5/6 painted; Joan painted 1/5=6/30, so Millie must have painted 5/6-1/5=25/30-6/30=(25-6)/30=19/30.

Answer 2

Let millie paint x room

From given

millie+joan=5/6

x+1/5=5/6
x=5/6-1/5
x=19/30

Millie painted 19/30 room

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