First we must convert these mixed numbers to improper fractions:
So then we need the product of these two numbers. That means to multiply:
But then we need the value of half of this product. So then let's multiply by one-half:
Then we can convert this from an improper fraction to a mixed number:
And so this number is half of the product of the initial two numbers.
Answer:
Hazel will have knitted 25 centimeters of the scarf
SOLUTION
Problem Statement
We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.
Solution
We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.
Let us count for each night.
Night 1:
Hazel makes 5 centimeters of the scarf.
Night 2:
Hazel makes extra 5 centimeters, which means she has made:
Night 3:
Hazel makes extra 5 centimeters, which means she has made:
NIght 4:
Hazel makes extra 5 centimeters, which means she has made:
NIght 5:
Hazel makes extra 5 centimeters, which means she has made:
Final Answer
Thus, Hazel will have knitted 25 centimeters of the scarf