Kristi joggfed 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?
a. 7/11
b. 9/40
c. 1 17/20
d. 1 7/20
answer: c
Juan owned 3/4 of a family business. He sold 1/3 of the business to his aunt. What portion of the business does he still own?
a. 13/12
b. 5/12
c. 5/13
d. 8/13
answer: b
Estimate the following product
2 1/5 * 4 5/6
a. 8
b. 10
c. 15
d. 18
answer: c
The first two are correct.
there has to be a misprint in the third, since according to your question you are appr. doing 1/5 * 5 which is 1
The second and third are wrong. There is no correct answer for the second.
2/3 of 3/4 is 1/2
I believe the problem in the third one is:
2 1/5 * 4 5/6
C is not the correct answer.
Ms. Sue read it correctly, I don't know how I missed that 2
so it would be appr. 2*5 which would be 10
the correct answer: B
To find the solution to the question "Kristi joggfed 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?" you need to add up the time spent jogging, swimming, and riding her bicycle.
The time spent jogging is 3/5 of an hour.
The time spent swimming is 1/2 of an hour.
The time spent riding her bicycle is 3/4 of an hour.
To find the total time she exercised, you need to add these fractions together.
3/5 + 1/2 + 3/4
To add fractions, you need to find a common denominator. The least common denominator between 5, 2, and 4 is 20. So, you need to convert each fraction to have 20 as the denominator.
For 3/5, multiply the numerator and denominator by 4:
(3 * 4) / (5 * 4) = 12/20
For 1/2, multiply the numerator and denominator by 10:
(1 * 10) / (2 * 10) = 10/20
For 3/4, multiply the numerator and denominator by 5:
(3 * 5) / (4 * 5) = 15/20
Now that all the fractions have a common denominator of 20, you can add them:
12/20 + 10/20 + 15/20 = 37/20
The answer is 37/20. However, since the options for the answer are in mixed number form, we need to convert the fraction to a mixed number.
37/20 can be divided as 20 goes into 37 one time with a remainder of 17. So, the mixed number is 1 17/20, which is option c.
Therefore, the answer is c. 1 17/20.
Now, let's move to the next question:
To find the solution to the question "Juan owned 3/4 of a family business. He sold 1/3 of the business to his aunt. What portion of the business does he still own?" you need to calculate the portion of the business that Juan still owns after selling 1/3.
To find the portion Juan still owns, subtract 1/3 from 3/4:
3/4 - 1/3
To subtract fractions, you need to have a common denominator. The least common denominator between 4 and 3 is 12. So, you need to convert each fraction to have 12 as the denominator.
For 3/4, multiply the numerator and denominator by 3:
(3 * 3) / (4 * 3) = 9/12
For 1/3, multiply the numerator and denominator by 4:
(1 * 4) / (3 * 4) = 4/12
Now that both fractions have a common denominator of 12, you can subtract them:
9/12 - 4/12 = 5/12
The answer is 5/12, which is option b.
Therefore, the answer is b. 5/12.
Moving on to the last question:
To estimate the product of 2 1/5 and 4 5/6, you can round each mixed number to the nearest whole number and then multiply them.
2 1/5 is approximately equal to 2.
4 5/6 is approximately equal to 5.
Now, multiply the rounded numbers:
2 * 5 = 10
The estimated product is 10, which is option b.
Therefore, the answer is b. 10.