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Simplify the fraction, 16/20, using the Greatest Common Factor.

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1 point
1/2
4/5
16/20
40/50
5. Simplify the fraction, 18/24, using the Greatest Common Factor.
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1 point
9/12
3/4
3/24
6/8
To add and subtract fractions, you need a common denominator. Use the video below to help you with questions 6-10.

6. 2/5 + 1/5
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1 point
3/10
3/5
1/5
1
7. 2/7 + 1/4
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1 point
3/11
8/28
6/15
15/28
8. 9/10 - 7/10
*
1 point
2/10 = 1/5
0
2
16/10 = 8/5
9. 3/4 - 2/5
*
1 point
1/20
7/20
-1
5/9
10. Candy comes in 1/2 pound bags. At a class party, the boys ate 1/6 of a pound and the girls ate 1/4 of a pound. How much candy do they have left?
*
2 points
0 pounds
1 pound
1/12 of a pound
3/4 of a pound

11. You can change mixed numbers to improper fractions first to help you add and subtract.
*
1 point
True
False
12. Add 2 2/9 and 3 2/3
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2 points
5 8/9
6 5/9
5 10/12
12 4/9
13. Subtract 3 3/4 and 2 1/6
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2 points
1 1/2
1 7/12
5 11/12
1 3/4

1 answer

Let's go through each question step by step:

  1. Simplify the fraction 16/20 using the Greatest Common Factor.

    • The GCF of 16 and 20 is 4.
    • Divide both the numerator and denominator by 4:
      • \(16 ÷ 4 = 4\)
      • \(20 ÷ 4 = 5\)
    • The simplified fraction is 4/5.

  2. Simplify the fraction 18/24 using the Greatest Common Factor.

    • The GCF of 18 and 24 is 6.
    • Divide both the numerator and denominator by 6:
      • \(18 ÷ 6 = 3\)
      • \(24 ÷ 6 = 4\)
    • The simplified fraction is 3/4.

  3. Calculate \(2/5 + 1/5\).

    • The denominators are the same, so simply add the numerators:
      • \(2 + 1 = 3\)
    • The answer is 3/5.

  4. Calculate \(2/7 + 1/4\).

    • The common denominator for 7 and 4 is 28.
    • Convert fractions: \[ 2/7 = 8/28 \quad (\text{Multiply by 4}) \] \[ 1/4 = 7/28 \quad (\text{Multiply by 7}) \]
    • Now add the fractions: \[ 8/28 + 7/28 = 15/28 \]
    • The answer is 15/28.

  5. Calculate \(9/10 - 7/10\).

    • The denominators are the same, so subtract the numerators:
      • \(9 - 7 = 2\)
    • The answer is 2/10, which simplifies to 1/5.

  6. Calculate \(3/4 - 2/5\).

    • The common denominator for 4 and 5 is 20.
    • Convert fractions: \[ 3/4 = 15/20 \quad (\text{Multiply by 5}) \] \[ 2/5 = 8/20 \quad (\text{Multiply by 4}) \]
    • Now subtract: \[ 15/20 - 8/20 = 7/20 \]
    • The answer is 7/20.

  7. Candy problem: 1/2 pound bags, boys ate 1/6 pound, girls ate 1/4 pound. How much is left?

    • Convert to a common denominator (12): \[ 1/6 = 2/12 \quad (\text{Multiply by 2}) \] \[ 1/4 = 3/12 \quad (\text{Multiply by 3}) \]
    • Total eaten: \[ 2/12 + 3/12 = 5/12 \]
    • Candy left: \[ 1/2 = 6/12 \quad (\text{Convert to twelfths}) \] \[ 6/12 - 5/12 = 1/12 \]
    • The answer is 1/12 of a pound.

  8. Changing mixed numbers to improper fractions: True or False?

    • The statement is True.

  9. Add 2 2/9 and 3 2/3.

    • Convert to improper fractions: \[ 2 2/9 = 20/9 \quad (2 \times 9 + 2 = 20) \] \[ 3 2/3 = 11/3 \quad (3 \times 3 + 2 = 11) \]
    • Common denominator is 9: \[ 11/3 = 33/9 \quad (\text{Multiply by 3}) \]
    • Now add: \[ 20/9 + 33/9 = 53/9 = 5 8/9 \]
    • The answer is 5 8/9.

  10. Subtract \(3 3/4\) and \(2 1/6\).

    • Convert to improper fractions: \[ 3 3/4 = 15/4 \quad (3 \times 4 + 3 = 15) \] \[ 2 1/6 = 13/6 \quad (2 \times 6 + 1 = 13) \]
    • The common denominator is 12: \[ 15/4 = 45/12 \quad (\text{Multiply by 3}) \] \[ 13/6 = 26/12 \quad (\text{Multiply by 2}) \]
    • Now subtract: \[ 45/12 - 26/12 = 19/12 = 1 7/12 \]
    • The answer is 1 7/12.

To sum it up, here are the answers:

  1. 4/5
  2. 3/4
  3. 3/5
  4. 15/28
  5. 1/5
  6. 7/20
  7. 1/12 of a pound
  8. True
  9. 5 8/9
  10. 1 7/12