WORD PROBLEMS ON FRACTIONS DECIMALS AND PERCENTAGES

Problem 1 :

While calculating your quiz grades you noticed Mrs. McClellan wrote the following numbers at the top of your quizzes: 8/10; 81%; 0.805. Place the scores in ascending order.

Solution:

So, the scores in ascending order:

8/10, 0.805, 81%

Problem 2 :

NBC news reported the rainfall over the last three days: 0.4 in; 1/25 in; 0.25 in. Help the meteorologists write the daily rainfalls in descending order.

Solution:

The rainfall over the last three days 0.4 in; 1/25 in; 0.25 in.

1/25 = 0.04

0.4, 0.25, 0.04

So, the daily rainfalls in descending order

0.4 > 0.25 > 1/25

Problem 3 :

Taylor and Olivia are arguing over who earned the better grade. Taylor earned a 47/51 and Olivia earned a 92%. Each student argues she earned the better grade. Who earned the better grade. Who is correct? How do you know? Explain.

Solution:

Taylor earned = 47/51

Olivia earned = 92%

47/51 = 0.921

92% = 0.92

47/21 > 92%

So, Taylor earned the better grade.

Therefore, Taylor is correct.

Problem 4 :

Adam has finished 7/10 of his homework while Logan finished 58% of his homework. Who has completed the most homework? How much more homework does each student need to complete to say they are done with their homework?

Solution:

Adam = 7/10 = 70%

Logan = 58%

70% > 58%

So, Adam has finished more.

Problem 5 :

Jessi has a bolt that 5/8 in. wide, and she drilled a hole that is 0.6 in. in diameter. Is the hole large enough to fit the bolt? Explain why or why not.

Solution:

 5/8 = 0.625 in

= 0.625 - 0.6

= 0.025 in

No, the bolt is 0.025 in too big.

Problem 6 :

Hollister was offering a sale of 1/3 everything in hte store. Aeropostale was offering 30% off everything in their store. Sophia said Hollister offered the better deal. Caleigh said Aeropostale was offering a better deal. Who is correct? Why? How do you know? Explain.

Solution:

Hollister = 1/3 = 0.33

Aeropostale = 3/10 = 0.3

Hollister is offering the better deal.

So, Sophia is correct.

1/3 > 3/10