Problems With Fractions (Addition And Subtraction)
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Mathematics is an interesting subject once you know the basics. Fractions are also used to indicate a part of a whole number or a ratio between two numbers. Do you have a hard time adding and subtracting fractions? Have no worries; take the quiz below to help you better your skills. All the best!
Questions and Answers
1.
Gabriella bought a pile of bricks to build a brick wall. Yesterday, she used 5/8 of the brick pile. Tomorrow, she plans to use another \dfrac{1}{4}174start fraction, 1, divided by, 4, end fraction1/4 of the original brick pile
A.
3/8
B.
1/8
C.
14/8
Correct Answer B. 1/8
Explanation Yesterday, Gabriella used 5/8 of the brick pile. This means that there are 3/8 of the original pile remaining. Tomorrow, she plans to use 1/4 of the original pile. If we multiply 3/8 by 1/4, we get 3/32. This means that tomorrow Gabriella will use 3/32 of the original pile. To find out how much of the original pile will remain after tomorrow, we subtract 3/32 from the current amount of 3/8. This gives us 3/8 - 3/32 = 9/32. Therefore, the answer is 9/32, which can be simplified to 1/8.
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2.
Mrs. Alvarez asked her class how many hours of TV they watched per day (to the nearest half hour). The results are shown on the left table.What fraction of the students watch between 000 and 222 hours of TV a day?
A.
9/10
B.
6/12
C.
7/12
D.
1/2
Correct Answer C. 7/12
Explanation The fraction of students who watch between 000 and 222 hours of TV a day can be calculated by adding up the number of students who fall within that range and dividing it by the total number of students. In this case, there are 7 students who watch between 000 and 222 hours of TV a day, and a total of 12 students. Therefore, the fraction is 7/12.
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3.
Horacio is working on his science fair project about the heights of fifth graders. His data are shown on the left graph.How much taller is Lucia than Horacio?
A.
3/4
B.
1/12
Correct Answer B. 1/12
4.
Ahoy there, matey! Our pirate ship had \dfrac{5}{6}65start fraction, 5, divided by, 6, end fraction of a treasure chest full of gold. Then we plundered an enemy ship and took their \dfrac{3}{8}83start fraction, 3, divided by, 8, end fraction of a treasure chest full of gold.How many treasure chests full of gold do we have now?
Correct Answer 29/24
Explanation After starting with 5/6 of a treasure chest and plundering an enemy ship for 3/8 of a treasure chest, we need to find the total amount of treasure chests. To do this, we need to find a common denominator for 6 and 8, which is 24. Then, we convert 5/6 to 20/24 and 3/8 to 9/24. Adding these fractions together gives us 29/24, which represents the total number of treasure chests full of gold that the pirate ship has now.
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5.
Suppose that the first team member in a 333-person relay race must run 2 \dfrac{1}{4}2 1/42, start fraction, 1, divided by, 4, end fraction laps, the second team member must run 1 \dfrac{1}{2}1 1/2 1/1, start fraction, 1, divided by, 2, end fraction laps, and the third team member must run 3 \dfrac{5}{8}3 5/85/83, start fraction, 5, divided by, 8, end fraction laps.How many laps in all must each team run?
A.
27/8
B.
24/2
C.
24/4
D.
7 3/8
Correct Answer(s) A. 27/8 D. 7 3/8
Explanation Each team member must run a certain number of laps. The first team member runs 2 1/4 laps, the second team member runs 1 1/2 laps, and the third team member runs 3 5/8 laps. To find the total number of laps, we add these fractions together. Converting the mixed numbers to improper fractions, we have 9/4 + 3/2 + 27/8. To add these fractions, we need a common denominator, which is 8. We can rewrite 9/4 as 18/8 and 3/2 as 12/8. Adding these fractions together, we get 18/8 + 12/8 + 27/8 = 57/8. This can be simplified to 7 1/8. Therefore, each team must run a total of 7 1/8 laps.