Question

Simplify the fraction, 16/20, using the Greatest Common Factor.
*
1 point
1/2
4/5
16/20
40/50
5. Simplify the fraction, 18/24, using the Greatest Common Factor.
*
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
*
1 point
3/10
3/5
1/5
1
7. 2/7 + 1/4
*
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
*
2 points
5 8/9
6 5/9
5 10/12
12 4/9
13. Subtract 3 3/4 and 2 1/6
*
2 points
1 1/2
1 7/12
5 11/12
1 3/4

Answer 1

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**