A flower is 9 3/4 inches tall. In one week, it grew 1 1/8 inches. How tall its the flower at the end of the week? Write in simplest form.
9 3/4 x 2/2=9 6/8 + 1 1/8 = 10 7/8
9 3/4 = 9 6/8
9 6/8 + 1 1/8 = 10 7/8
Mea
To find the height of the flower at the end of the week, we need to add the growth of 1 1/8 inches to its current height of 9 3/4 inches.
First, we need to convert the mixed numbers to improper fractions to perform the addition.
9 3/4 can be written as (4 * 9 + 3)/4 = 39/4
1 1/8 can be written as (8 * 1 + 1)/8 = 9/8
Now, we can add the fractions:
(39/4) + (9/8)
In order to add these fractions, we need to find a common denominator. The least common multiple of 4 and 8 is 8.
To make 39/4 have a denominator of 8, we multiply the numerator and denominator by 2:
(39/4) * (2/2) = 78/8
Now we can add the fractions:
78/8 + 9/8 = (78 + 9)/8 = 87/8
Therefore, the height of the flower at the end of the week is 87/8 inches.