Paige decided to paint 4/5 of the rooms in her home last year by the end of the year paige completed 2/3 of the rooms how much of paiges home was painted last year
To determine how much of Paige's home was painted last year, we can find the fraction of rooms completed out of the total number of rooms in her home.
Let's first calculate the fraction of rooms completed last year: 2/3
Since Paige completed 2/3 of the rooms, this means she painted 2 out of 3 rooms.
Now, let's find the fraction of rooms Paige initially planned to paint: 4/5
Since Paige initially planned to paint 4/5 of the rooms, this means she planned to paint 4 out of 5 rooms.
Therefore, the amount of Paige's home that was painted last year is 2/3 or 4/5.
3/8 divided by 2
To divide 3/8 by 2, we can multiply the numerator (top number) by the reciprocal of the denominator (bottom number).
Reciprocal of 2 = 1/2.
So, 3/8 divided by 2 is:
(3/8) * (1/2) = (3*1) / (8*2) = 3/16.
Therefore, 3/8 divided by 2 is equal to 3/16.
2 1-3 divided by 2/5
To divide 2 1/3 by 2/5, we first need to convert the mixed number to an improper fraction.
To convert 2 1/3 to an improper fraction, we multiply the whole number (2) by the denominator (3) and add the numerator (1), then put the result over the original denominator (3).
2 * 3 + 1 = 6 + 1 = 7
So, 2 1/3 is equal to 7/3.
Now, we can divide 7/3 by 2/5.
Dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
7/3 ÷ (2/5) can be rewritten as 7/3 * (5/2).
Multiplying the numerators and denominators:
7 * 5 = 35
3 * 2 = 6
Therefore, 2 1/3 divided by 2/5 is equal to 35/6.
To determine the amount of Paige's home that was painted last year, we need to find the common denominator between 4/5 and 2/3, which is 15.
Since 4/5 can be converted into 12/15 and 2/3 can be converted into 10/15, we can calculate the total painted area by summing these fractions:
12/15 + 10/15 = 22/15
However, this result indicates that the painted area exceeds the total area of Paige's home. Please check if the given fractions are correct, as it is not possible for the sum of the painted rooms to be greater than the total number of rooms.
To find out how much of Paige's home was painted last year, we need to calculate the total fraction of rooms she painted.
First, let's find the common denominator for 4/5 and 2/3, which is 15. We can do this by multiplying the denominators: 5 * 3 = 15.
Now, let's convert 4/5 to have a denominator of 15:
4/5 * 3/3 = 12/15.
And let's convert 2/3 to have a denominator of 15:
2/3 * 5/5 = 10/15.
Now we can add the two fractions together to get the total fraction of rooms painted:
12/15 + 10/15 = 22/15.
However, this is more than 1 whole home, so we need to see how many complete homes were painted.
Divide the numerator by the denominator to see how many complete homes were painted:
22 ÷ 15 = 1.46.
So, Paige painted approximately 1.46 homes last year, or in other words, approximately 1 whole home and around 46% of another home.