It took Victor 8 4/5
hours to complete his science project and 5 3/10
hours to finish his art project. How many more hours did Victor spend on his science project?(1 point)
Responses
14 1/10
hours
3 1/2
hours
46 16/25
hours
1 35/53
hours
To find out how many more hours Victor spent on his science project, we need to subtract the time he spent on his art project from the time he spent on his science project.
Converting the mixed numbers to improper fractions:
8 4/5 = 44/5 hours
5 3/10 = 53/10 hours
Now we can subtract:
44/5 - 53/10
To subtract fractions, we need to have a common denominator. The least common multiple of 5 and 10 is 10, so we need to convert the fractions to have a denominator of 10.
44/5 = (44/5) * (2/2) = 88/10
53/10
Now we can subtract:
88/10 - 53/10 = (88-53)/10 = 35/10
Now let's simplify the fraction:
35/10 = (35/5) * (2/2) = 7/2
So, Victor spent an additional 7/2 hours on his science project, which is equal to 3 1/2 hours.
Therefore, the correct answer is:
3 1/2
hours.
To find out how many more hours Victor spent on his science project, you need to subtract the time he spent on his art project from the time he spent on both projects combined.
Step 1: Convert the mixed numbers to improper fractions:
8 4/5 = (8 * 5 + 4) / 5 = 44/5
5 3/10 = (5 * 10 + 3) / 10 = 53/10
Step 2: Add the fractions representing the time for both projects:
44/5 + 53/10 = (44 * 2 + 53) / 10 = 141/10
Step 3: Simplify the fraction, if necessary:
141/10 = 14 1/10
Therefore, Victor spent 14 1/10 hours more on his science project.
To find the difference in hours between Victor's science project and art project, we need to subtract the time it took to complete his art project from the time it took to complete his science project.
Victor spent 8 4/5 hours on his science project and 5 3/10 hours on his art project.
To convert the mixed numbers to improper fractions, we multiply the whole number by the denominator and add the numerator. Then we put the sum over the denominator.
8 4/5 = (8 x 5 + 4)/5 = 44/5
5 3/10 = (5 x 10 + 3)/10 = 53/10
Now, we subtract the time for the art project from the time for the science project:
44/5 - 53/10
To subtract fractions, we need to have a common denominator. The least common denominator of 5 and 10 is 10.
So, we rewrite the fractions with the common denominator 10:
44/5 = (44/5) x (2/2) = 88/10
53/10 = 53/10
Now, we can subtract the fractions:
88/10 - 53/10 = (88 - 53)/10 = 35/10
To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 5:
35/10 = (35/5) x (1/2) = 7/2 = 3 1/2
Therefore, Victor spent 3 1/2 more hours on his science project than his art project.