june wants to work for 15 1/2 hours at her part-time job this week. she has already worked 8 3/4 hours. how many more hours does she need to work?
15 1/2 - 8 3/4
14 3/2 - 8 3/4
14 6/4 - 8 3/4 = 6 3/4
To find out how many more hours June needs to work, you will need to subtract the hours she has already worked from the total hours she wants to work.
June wants to work for 15 1/2 hours, which can be written as a mixed number. To do this, add the whole number (15) to the fraction (1/2).
15 + 1/2 = 30/2 + 1/2 = 31/2
So, June wants to work for a total of 31/2 hours.
Now, let's subtract the hours June has already worked from the total hours she wants to work.
Oh, and don't forget to convert the mixed number (8 3/4) to improper fraction form. To do this, multiply the whole number (8) by the denominator (4), and then add the numerator (3).
8 * 4 + 3 = 32 + 3 = 35
The improper fraction for 8 3/4 is 35/4.
Now, subtract the hours June has already worked (35/4) from the total hours she wants to work (31/2).
31/2 - 35/4
To subtract fractions, we need a common denominator. The least common multiple of 2 and 4 is 4.
Multiply the numerator and denominator of the first fraction by 2:
31/2 * 2/2 = 62/4
Now, subtract both fractions:
62/4 - 35/4 = 27/4
So, June still needs to work for 27/4 hours more.
To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case:
27/4 รท 1/1 = 27/4
Therefore, June still needs to work for 27/4 hours more, or 6 3/4 hours.