Answer Key
Chapter 3 – Using Fractions 3.1
Equivalent Fractions
Answers 1. ¾, 9/12, 18/24, 27/36
2. 21/8
3. 17/5
4. 8/7
5. 49/9
6. 1 1/28
7. 2 2/5
8. 4 ½
9. 2 1/8
10. 7 1/3
11. 4/6, 8/12, 16/24 12. 3/7, 9/21, 6/14 13. 6/8, 9/12, 18/24 14. 18/20, 27/30, 36/40 15. 14/16, 21/24, 28/32
3.2
Mixed Number and Fraction Estimation
Answers 1. 1
2. ½
3. 0
4. 1
5. 0
6. 0
7. 1
8. ½
9. ½
10. 1
11. 3
12. 6
13. 44
14. 8
15. 7
3.3
Fraction and Mixed Number Comparison
Answers 1. <
2. >
3. >
4. <
5. =
6. >
7. >
8. =
9. <
10. =
11. 1/3, 4/9, 5/6 12. ¼, 2/3, 6/7 13. 2/3, 4/5, 6/6 14. ½, 3/5, 2/3 15. 2/7, ¼, 3/6 16. 1/6, 2/9, 2/5 17. parsley, cheese, asparagus 18. Wall A
CK-12 Middle School Math Concepts - Grade 7
1
Answer Key
Chapter 3 – Using Fractions 3.4
Addition of Fractions
Answers 1. 1/2
2. 1 1/12
3. 7/10
4. 5/18
5. 3 9/20
6. 10 11/12
7. 3 5/12
8. 7 2/15
9. 6 1/3
10. 16 3/5
11. 6 5/6
12. 9 23/45
13. 2 5/6
14. 19 3/10
15. 31 23/36
3.5
Estimation of Sums of Mixed Numbers and Fractions
Answers 1. 1
2. 1 ½
3. 1 ½
4. 0
5. 1
6. 1
7. 1
8. 1 ½
9. 1
10. 1
11. 7
12. 14 ½
13. 6
14. 2
15. 19
3.6
Commutative Property of Addition with Fractions
Answers 1. ½ + y
2. x + 5
3. 7/9 + y
4. 4 + x
5. x + 8 5/6
6. 1 1/8 + x
7. 1/3 + x
8. x + 5 11/14
12. 5 11/18 + x
9. 4 11/12 + x
10. 5 13/30 + x
11. 6 2/3 + x
13. 13/21
14. 4 23/40
15. 15 17/84
3.7
16. ¼ + 4/7 + x
Subtraction of Fractions
Answers 1. 9/20
2. 0
3. 11/21
4. 5/8
5. 2 9/10
6. 1 1/8
7. 5/6
8. 2 5/14
9. 1
10. 0
11. 1
12. ½
13. 11
14. 0
15.0
16. 3 ½
CK-12 Middle School Math Concepts - Grade 7
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Answer Key
Chapter 3 – Using Fractions 3.8
Estimation with Mixed Number/Fraction Subtraction
Answers 1. 1
2. 0
3. 1
4. ½
6. 11
7. 0
8. ½
9. 3 ½
10. 0
11. 2
12. 9
13. 6
14. 17 ½
15. 8
3.9
5. 1
Inverse Property of Addition in Fraction Equations
Answers 1. 3/5
2. ½
3. 1/9
4. 1/7
5. 1/12
6. 7/15
7. 3/13
8. 3/7
9. 2/5
10. 5/12
11. 5 ½
12. 1 ½
13. 3 5/8
14. 15 ¼
15. 27/56
3.10
Products of Mixed Numbers
Answers 1. 3/28
2. 5/9
3. ¼
5. 8/9
6. 3 9/35
7. 5 7/40
8. 36/55
9. 9 ¼
10. 1/42
11. 6 7/18
12. 7/60
13. 3/7
14. 9/20
15. 5/42
16. 1 13/15
3.11
4. 8/21
Product Estimation of Mixed Numbers/Fractions
Answers 1. 1
2. 12
6. 18
11. 49
3. ½
4. ½
5. 17 ½
7. 7 ½
8. 35
9. 24 ½
10. 4
12. 18
13. 35
14. 84
15. 192
CK-12 Middle School Math Concepts - Grade 7
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Answer Key
Chapter 3 – Using Fractions 3.12
Commutative Property with Products of Fractions
Answers 1. 6/14
2. 9/20
3. 5/42
4. 1 13/15
5. 1/7
6. 9/50
7. 2/81
8. 7/10x
9. 2 2/9x
10. 1 1/24x
11. 1/2x
12. 1/2x
13. 6/25x
14. $22.50
15. 2 1/6 ft
3.13
Division of Fractions
Answers 1. 2/15
2. 1 2/3
3. 8/25
4. 2 2/3
5. 4
6. 32/75
7. 4 5/6
8. 15 ¾
9. 2 5/16
10. 6/7
11. 2 3/10
12. 10 22/35
13. 12/35
14. 36 4/5
15. 4 29/40
3.14
Quotient Estimation with Mixed Numbers/Fractions
Answers 1. 1
2. 1
3. ½
4. 2
5. 4
6. 2
7. 12
8. 3
9. 4
10. 3
11. 5
12. 8
13. 2
14. 3
15. 13
4. .75
5. .375
3.15
Fractions as Decimals
Answers 1. .6
2. .5
3. .8
6. .875
7. 2.25
8. 5.4
9. 6.5
10. 11.625
11. 10.5
12. 18.75
13. 12.8
14. 19.75
15. 22.25
CK-12 Middle School Math Concepts - Grade 7
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Answer Key
Chapter 3 – Using Fractions 3.16
Repeating Decimals
Answers R is for repeating decimal 1. .66 R
2. .83 R
3. 5.3 R
4. .33 R
5. .75
6. .166 R
7. .125
8. .4285714286
9. .33 R
10. 4.66 R
11. 7.33 R
12. 6.83 R
13. 8.5
14. 9.66 R
15. 11.2
3.17
Decimals as Fractions
Answers 1. 3/10
2. 2/5
3. 1/5
4. 53/100
5. 55/100
6. 2/25
7. ¼
8. 23/100
9. 219/250
10. 64/125
11. 74 17/50
12. 3 22/25
13. 5 3/5
14. 12 4/5
15. 23 3/50
16. 987/1000
3.18
Positive and Negative Fraction and Decimal Comparison
Answers 1. <
2. <
3. >
4. <
5. =
6. >
7. <
8. =
9. <
10. <
11. 1/3, .25, .54 12. .55, .613, ¾ 13. 1/9, .252, .31 14. .05, .546, 7/8 15. .09, .1, .88
CK-12 Middle School Math Concepts - Grade 7
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Answer Key
Chapter 3 – Using Fractions 3.19
United States Customary Units
Answers 1. 3 quarts
2. 32 Tablespoons
3. 56 ounces
4. 2640 feet
5. 3.5 pounds
6. 2 feet
7. 66 inches
8. 8 ounces
9. 36 inches
10. 3 feet
11. 64 Tablespoons
12. 192 teaspoons
14. 32 ounces
15. 2 pints
13. 2.086 pounds
3.20
Appropriate Tools for Customary Measurement
Answers 1. Scale
2. Measuring spoon
3. Measuring cup
4. Tape measure
5. measuring spoon
6. Measuring cup
7. Scale
8. Feet/yards
9. gallons
10. Inches
11. Pounds
12. Miles
13. gallons
14. Gallons
15. Inches
3.21
Conversion of Customary Units of Measurement
Answers 1. 5.4 yards
2. 352 yards
3. 29.3 yards
4. 30 yards
5. 300 yards
6. 131.5 pounds
7. 6 pounds
8. 375 pounds
9. 30,000 pounds
10. 204 pints
11. 3.56 pints
12. 76 pints
13. 8 pints
14. 36 pints
15. 536 pints
3.22
Conversion Estimation between Systems of Measure
Answers 1. 8.8 pounds
2. 24.6 feet
3. 25.38 cupts
4. 8.215 miles
5. 3.72 miles
6. 33.84 cuts
7. 44 pounds
8. 39.36 feet
9. 3.78 liters
10. 963.8 gallons
11. 23.58 kilograms
12. 22.86 centimeters
13. 4.26 meters
14. 3.78 Liters
15. 8.04 kilometers
CK-12 Middle School Math Concepts - Grade 7
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