Ok one more question.
I had this problem:
Kristi jogged for 3/5 of an hour, swam for 1/2 of an hour, and rode her bicycle for 3/4 of an hour. How long did she exercise?
I took it to mean you had to add all the fractions together.
So I found the lcd of all three numbers which would be 20 then I muliplied the fractions by the recpective numbers to get 20 so then I had this:
12/20+10/20+15/20=37/20= 1 17/20
did I work this right?
very good
Yes, you worked it correctly!
To find the total time Kristi exercised, you need to add the fractions together.
First, you found the least common denominator (LCD) of all three fractions, which is 20. This means you need to find equivalent fractions for each fraction, such that the denominators all become 20.
To do this, you multiplied the numerator and denominator of the first fraction, 3/5, by 4 (since 4 * 5 = 20). This resulted in 12/20.
Similarly, for the second fraction, 1/2, you multiplied the numerator and denominator by 10 (since 10 * 2 = 20). This resulted in 10/20.
For the third fraction, 3/4, you multiplied the numerator and denominator by 5 (since 5 * 4 = 20). This resulted in 15/20.
Now, you can add these equivalent fractions together: 12/20 + 10/20 + 15/20 = 37/20.
Since the fraction 37/20 is an improper fraction (the numerator is greater than the denominator), you can convert it into a mixed number. Divide the numerator (37) by the denominator (20):
37 รท 20 = 1 remainder 17.
This means 37/20 can be expressed as 1 wholes and a fractional part of 17/20. Therefore, Kristi exercised for a total of 1 hour and 17/20 of an hour, which can also be written as 1 17/20.
So, you worked it correctly! Good job!