Josephine wants to put a wallpaper border around the ceiling of her room. Do mentions are shown below. How many feet of border does she need? 10 10 9/12 feet and 8 1/2 feet
38 1/2 ft
not sure:
10 9/12=129/12; 8 1/2 = 17/2
(2 x 129/12) + (2 x 17/2) =
258/12 + 34/2 = 258/12 + 204/12
= 462/12 = 386/12 = 38 1/2 feet
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not sure:
10 9/12=129/12; 8 1/2 = 17/2
(2 x 129/12) + (2 x 17/2) =
258/12 + 34/2 = 258/12 + 204/12
= 462/12 = 38 6/12 = 38 1/2 feet
To determine how many feet of border Josephine needs to put around the ceiling, we need to add up the lengths of the four wallpaper border sections.
Let's start by converting the mixed numbers to improper fractions for easier calculations:
10 = 10/1
8 1/2 = 8 + 1/2 = 16/2 + 1/2 = 17/2
Now, let's add up all the fractions:
10/1 + 10/1 + 9/12 + 17/2
To add fractions, they need to have the same denominators. Let's find a common denominator:
The least common multiple of 1 and 2 is 2. Multiplying the fractions by the appropriate factor to get the denominators to 2:
10/1 × 2/2 = 20/2
17/2 × 1/1 = 17/2
Now, we can add the fractions together:
20/2 + 10/2 + 9/12 + 17/2
Combining the like terms:
(20 + 10 + 9 + 17)/2
56/2
Simplifying the fraction:
28
So, Josephine needs 28 feet of wallpaper border to put around the ceiling of her room.