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Operations on Fractions Question

I need step-by-step instructions on how to solve them to ensure that I understand how to solve them correctly. Thanks for your assistance.

1. Express 2 3/5 as a decimal. 2.06 (2 + 3/5 = 2 + 3.000/5)
2. Express 0.32 as a fraction. 8/25 (32/100).
3. Express $112 for 14 hours as a unit rate. 8 (112/14).
4. Eric uses 7 gallons of gas to drive 196 miles. How many miles can he drive using 1 gallon of gas? 28. (196/7).
5. Order 2.3, 2.03, 5/2, 19/8 from least to greatest. 2.375, 2.03, 2.4, 2.5.
6. Replace _____ with a symbol to make a true sentence. -2.875 -2 7/8. = (2 + 0.875 (7.000/8).
7. Kyle worked for 23 2/4 hours one week and 18 ½ hours the next week. How many hours did he work altogether? 42 hours. 23 2/3 = 23 10/15 + 18 5/15 = 41 + 15/15 = 41 + 1 = 42).
8. Find 6 1/5 + 9 1/2. 15 7/10 (6 2/10 = 9 5/10 = 15 7/10).
9. Find 5 2/3 - 4 1/6. 1 1/2 (5 4/6 - 4 1/6 = 1 3/6 = 1 ½).
10. Find 5 1/6 - 2 1/3. 2 7/6 (5 1/6 = 4 11/6 - 2 2/6 - 2 7/6).
11. Find -5/6 / (1/2). Write answer in simple form. Do not have a clue how to solve this one.
12. Find 5/6 X 8/12. Write answer in simple form. 5/6 X 8/12 = 40/60 = 2/3.
13. Lee has 5/8 of a gallon of lemonade to be divided equally among 10 people. How much lemonade will each person get? 0.0625 ounces each. (5.000/8 = 0.625/10=0.0625).
14. James uses 1 2/3 cups of flour to make one pie. If he is making 4 pies for a bake sale, how much flour will he need? 6 2/3 cups. (1 2/3 = 5/3 X 4/1 = 20/3 = 6 2/3).
15. An elevator started on the 10th floor. It rose 2 floors, dropped 7 floors, and then rose 1 floor. What floor did the elevator end on? The 6th floor. 10 +2, -7, +1 = 6).
16. A hiker begins on top of a mountain that stands 12,500 above sea level. He walks down go the valley that is 250 feet below sea level. What is his change in elevation? 12,200 feet (12,500 - 2500.
17. Find -2 +7 + (-11). +6.
18. Find -7 - (-15). -8.
19. Find -17 -12. -5.
20. Divide -56 by -4. - 54/-4 = -14.
21. Find -8(4). Do not have a clue how to solve this one.
22. Find (9)(6). Do not have a clue how to solve this one.
23. Divide 65/-13. -5.

Solution Preview

1. Express 2 3/5 as a decimal.
Solution
(2 + 3/5 = 2 + 3.000/5 = 2 + 0.6 = 2.6)
So the answer is 2.6

2. Express 0.32 as a fraction.
Solution
0.32 multiply and divide by 100
32/100 = 8/25.

3. Express $112 for 14 hours as a unit rate.
Solution
Divide 112 by 14,
=112/14
= $8 per unit

4. Eric uses 7 gallons of gas to drive 196 miles. How many miles can he drive using 1 gallon of gas?
Solution
Divide 196 by 7
196/7 = 28 miles per gallon.

5. Order 2.3, 2.03, 5/2, 19/8 from least to greatest. Solution
Solution
Convert fractions into decimals and compare.
2.3, 2.03, 2.5, 2.375
Now we can arrange from least to greatest
2.03, 2.3, 2.375, 2.5
2.03, 2.3, 19/8, 5/2

6. Replace _____ with a symbol ...

Solution Summary

This response provides step-by-step instructions on how to solve operational fractions.

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