The school parking lot had room for thirty cars. If all the spaces except six were filled, what fraction of the parking lot was in use?
If Mrs. Johnson parks in one of the empty spaces, how does the fraction change?
Please answer and explain.
24/30 = 4/5
25/30 = 5/6
Thanks
You're welcome.
4/5
4/5
To find the fraction of the parking lot that was in use initially, we need to determine how many spaces were filled and divide it by the total number of spaces.
Given that all the spaces except six were filled, we can calculate the number of filled spaces as:
30 total spaces - 6 empty spaces = 24 filled spaces
Therefore, initially, 24 out of 30 spaces were filled.
To find the fraction, we divide the number of filled spaces (24) by the total number of spaces (30):
Fraction of parking lot in use initially = 24/30
Simplifying the fraction, we see that both 24 and 30 can be divided by 6:
Fraction of parking lot in use initially = 4/5
Now, let's consider the scenario where Mrs. Johnson parks in one of the empty spaces. In this case, there will be five empty spaces remaining instead of six.
So, the number of filled spaces would be:
30 total spaces - 5 empty spaces = 25 filled spaces
Now we can calculate the new fraction by dividing the number of filled spaces (25) by the total number of spaces (30):
New fraction of parking lot in use = 25/30
Again, simplifying the fraction, we see that both 25 and 30 can be divided by 5:
New fraction of parking lot in use = 5/6
Therefore, if Mrs. Johnson parks in one of the empty spaces, the fraction changes from 4/5 to 5/6.