It took 1 1/3 cans of paint to paint 2/5 of a room. At that rate, how many cans of paint will it take to paint the whole room?
1 1/3 = 1 + 1 / 3 = 3 / 3 + 1 / 3 = 4 / 3
( 1 1/3 ) / ( 2 / 5 ) =
( 4 / 3 ) / ( 2 / 5 ) =
( 4 * 5 ) / ( 3 * 2 ) =
20 / 6 =
( 2 * 10 ) / ( 2 * 3 ) =
10 / 3 =
( 9 + 1 ) / 3 =
9 / 3 + 1 / 3 =
3 + 1 / 3 =
3 1/3 cantrs
The answer is 3 2/3
That’s what I got I can’t promise it’s right.
To find out how many cans of paint it will take to paint the whole room, we need to determine the ratio between the portion of the room painted and the amount of paint used.
1 1/3 cans of paint were used to paint 2/5 of the room.
To find the ratio, we divide the amount of paint used by the portion of the room painted:
(1 1/3) cans of paint ÷ (2/5) of the room
To divide mixed numbers, we first convert the mixed number to an improper fraction:
1 1/3 = (3 * 1 + 1) / 3 = 4/3
Now we can perform the division:
(4/3) cans of paint ÷ (2/5) of the room
To divide fractions, we multiply the first fraction by the reciprocal (or inverse) of the second fraction:
(4/3) cans of paint * (5/2) of the room
Multiplying across, we get:
(4 * 5) / (3 * 2) = 20 / 6 = 10/3
So, it took 10/3 cans of paint to paint 2/5 of the room.
To find out how many cans of paint it will take to paint the whole room, we need to divide the size of the whole room (1/1) by the portion painted (2/5), and then multiply by the amount of paint used (10/3):
(1/1) room ÷ (2/5) painted portion * (10/3) cans of paint
To divide fractions, we multiply by the reciprocal (inverse), so the equation becomes:
(1/1) * (5/2) * (10/3)
Multiplying across:
(1 * 5 * 10) / (1 * 2 * 3) = 50 / 6 = 25/3
It will take 25/3 cans of paint to paint the whole room.
To find out how many cans of paint it will take to paint the whole room, we need to determine the fraction of the room that one can of paint can cover.
Given that it took 1 1/3 (or 4/3) cans of paint to paint 2/5 of the room, we can set up a proportion:
(4/3) cans of paint : (2/5) of the room = X cans of paint : 1 whole room
To solve this proportion, we can cross-multiply:
(4/3) * 1 = (2/5) * X
Simplifying this equation:
4/3 = 2/5 * X
Next, isolate X by multiplying both sides of the equation by the reciprocal of (2/5), which is (5/2):
X = (4/3) * (5/2)
Multiplying the fractions:
X = (4 * 5) / (3 * 2) = 20/6 = 10/3
Therefore, it will take 10/3 (or 3 1/3) cans of paint to paint the whole room.