Max and Tanya are painting two
adjacent walls of equal area. Max
has painted 3/7 of his wall and
Tanya has painted 2/5 of her wall .
a) what fraction of the two walls
have Max and Tanya painted in
total ?
b) what fraction of the two walls
remains to be painted?
(a) 3/7 + 2/5 = 15/35 + 14/35 = ____
(b) 1 - (a) = ___
a) To find the fraction of the two walls that Max and Tanya have painted in total, we need to add the fractions. Max has painted 3/7 of his wall and Tanya has painted 2/5 of her wall. We need to find a common denominator and add the fractions:
3/7 + 2/5
To find a common denominator, we can multiply the denominators together: 7 * 5 = 35.
Multiplying the numerators and denominators accordingly, we get:
(3 * 5 + 2 * 7) / (7 * 5)
(15 + 14) / 35
29/35
Therefore, Max and Tanya have painted a total of 29/35 of the two walls.
b) To find the fraction of the two walls that remains to be painted, we subtract the fraction we found in part a) from 1.
1 - 29/35
To subtract fractions, we need a common denominator. Since 1 can be written as 35/35, we can subtract:
35/35 - 29/35
This gives us:
(35 - 29) / 35
6/35
Therefore, 6/35 of the two walls remains to be painted.
To find the fraction of the two walls that Max and Tanya have painted in total, we need to add the fractions of the walls they individually painted.
a) Max has painted 3/7 of his wall and Tanya has painted 2/5 of her wall. To find the total fraction of the two walls they have painted together, we need to find a common denominator for the fractions, which is 35.
For Max, we can rewrite 3/7 as (3/7) * (5/5) = 15/35.
For Tanya, we can rewrite 2/5 as (2/5) * (7/7) = 14/35.
Now, we can add the fractions together to get the total fraction of the two walls painted: 15/35 + 14/35 = 29/35.
Therefore, Max and Tanya have painted a total of 29/35 of the two walls.
To find the fraction of the two walls that remains to be painted, we subtract the fraction already painted from the whole wall.
b) The whole wall is equivalent to 1. To find the fraction remaining, we subtract the total fraction painted (29/35) from 1:
1 - 29/35 = 35/35 - 29/35 = 6/35.
Therefore, the fraction of the two walls that remains to be painted is 6/35.