it takes harrison 1 1//2 hours to finish his history project. it takes miles 3 2/3 hours to finish his science project. how many times as long does it takes miles to finish his science project than it takes harrison to finish his history project?
Do I have to subtract or divide?
the key wording in "how many times as long "
"many times" suggests multiplication, which is turn suggests division.
so 3 2/3 ÷ 1 1/2
your first step would be to change those mixed fractions to useful fractions
To find out how many times longer it takes Miles to finish his science project compared to Harrison's history project, you need to divide the time it takes Miles by the time it takes Harrison. Let's convert the given hours to fractions first:
Harrison: 1 1/2 hours = 3/2 hours
Miles: 3 2/3 hours = 11/3 hours
Now, to calculate how many times longer it takes Miles than Harrison, divide the time it takes Miles by the time it takes Harrison:
(11/3) ÷ (3/2)
To divide fractions, invert the second fraction and multiply:
(11/3) * (2/3)
Multiply the numerators (top numbers) together and denominators (bottom numbers) together:
(22/9)
So, Miles takes approximately 2 2/9 times longer to finish his science project than it takes Harrison to finish his history project.
Therefore, you need to divide the fractions to find the answer to the question.