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Fraction Addition and Subtraction
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Fraction Addition and Subtraction
Choose the best answer in Part 1. In Parts 2 and 3, show your calculations and write each answer as a mixed number in simplest form. Improper fractions are also acceptable.
Choose the answer
Select one answer for each question.
1.What is 3 + 2/7?
- 3 2/7
- 3 5/7
- 3 1/7
- 3 6/7
2.Find 6 − 3/5.
- 5 2/5
- 5 3/5
- 6 3/5
- 5 1/5
3.Which expression has the same value as 2 3/4?
- 2 + 3/4
- 2/3 + 4
- 2 × 3/4
- 2 + 4/3
4.What is 5 + 1/6?
- 5 1/6
- 5 5/6
- 5 1/5
- 5 6/1
5.A weather station has 4 inches of rainwater in a collection tube. Aaliyah removes 3/8 inch for a sample. How much remains?
- 3 5/8 inches
- 3 3/8 inches
- 4 3/8 inches
- 3 7/8 inches
Calculate
Solve each problem. Show how you worked it out.
6.Find 4 + 2/9.
7.Calculate 8 − 1/3.
8.Add 3/8 and 5.
9.Work out 7 − 5/12.
10.Calculate 1/4 + 11.
11.Find 9 − 4/9.
12.Add 6 and 5/11.
13.Calculate 10 − 3/7.
14.Work out 2/5 + 8.
15.Find 13 − 5/6.
Use fractions in situations
Write a calculation and include the correct unit in your answer.
16.At a weather station, Logan records 3 miles of travel on one day and 5/8 mile the next day. How many miles does he travel altogether?
17.A weather balloon's tether is 8 feet long. Hiroshi shortens it by 2/5 foot. What is the tether's new length?
18.A supply container holds 6 pounds of de-icing salt. The station uses 3/10 pound. How many pounds are left?
19.A rain gauge contains 9 gallons of water. Aaliyah drains 5/8 gallon to empty it for a new measurement. How much water remains?
20.Logan walks 4 miles to a weather station and then 3/7 mile farther to check an outdoor sensor. How far does he walk in total?
Challenge
Stretch your fraction reasoning.
21.Find two different fractions with different denominators that you can add to 6 to make totals greater than 6 1/2 but less than 7. Show both calculations.
22.A whole number minus a proper fraction equals 5 2/3. Give one possible subtraction equation.
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