Answer :
Final answer:
Option a. By converting mixed numbers to improper fractions with a common denominator and adding them together, we find that the total weight of the packages is 89 1/10 pounds.
Explanation:
To determine the total weight of Verna's packages shipped to Chicago, we must add the weights of all three packages: 12 1/2 pounds, 35 1/4 pounds, and 41 7/20 pounds. The first step is to convert all of these mixed numbers into improper fractions so they can be added together easily. Here is how we do it step by step:
Convert each mixed number to an improper fraction:
12 1/2 = 25/2
35 1/4 = 141/4
41 7/20 = 827/20
Find a common denominator (in this case, 20, since it is the least common multiple of 2, 4, and 20).
Convert fractions to have the common denominator:
25/2 = 250/20
141/4 = 705/20
Add the fractions:
250/20 + 705/20 + 827/20 = 1782/20
Convert the resulting improper fraction back to a mixed number:
1782/20 = 89 with a remainder of 2,
which gives us 89 2/20 or 89 1/10 when simplified.
Thus, the total weight of the packages is option a. 89 1/10 pounds.
Answer:
A
Step-by-step explanation:
1st package weighs [tex]12\dfrac{1}{2}[/tex] pounds;
2nd package weighs [tex]35\dfrac{1}{4}[/tex] pounds;
3rd package weighs [tex]41\dfrac{7}{20}[/tex] pounds;
First, add whole numbers:
[tex]12+35+41=88[/tex]
Now add fractions:
[tex]\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{7}{20}=\dfrac{10}{20}+\dfrac{5}{20}+\dfrac{7}{20}=\dfrac{10+5+7}{20}=\dfrac{22}{20}=\dfrac{11}{10}=1\dfrac{1}{10}[/tex]
So, the total weight is
[tex]88+1\dfrac{1}{10}=89\dfrac{1}{10}\ pounds[/tex]
