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Unit 2 Basic Worksheet

Fraction Fundamentals

Practice equivalent fractions, fraction addition and subtraction with same denominators, and converting between mixed numbers and improper fractions.

Question 1: Find the equivalent fraction: 1/2 = ?/8

Answer: 4/8

Steps:

  1. Multiply numerator and denominator by 4
  2. 1 × 4 = 4, 2 × 4 = 8
  3. Answer: 4/8

Question 2: Simplify to lowest terms: 6/9

Answer: 2/3

Steps:

  1. Find GCF of 6 and 9: 3
  2. Divide both by 3: 6÷3=2, 9÷3=3
  3. Answer: 2/3

Question 3: Are 2/5 and 4/10 equivalent? (Yes/No)

Answer: Yes

Steps:

  1. Cross multiply: 2 × 10 = 20, 5 × 4 = 20
  2. 20 = 20, so they are equivalent
  3. Answer: Yes

Question 4: Complete: 3/4 = 9/?

Answer: 12

Steps:

  1. 3 × 3 = 9 (numerator multiplied by 3)
  2. So denominator: 4 × 3 = 12
  3. Answer: 12

Question 5: Simplify: 8/12

Answer: 2/3

Steps:

  1. GCF of 8 and 12 is 4
  2. 8÷4=2, 12÷4=3
  3. Answer: 2/3

Question 6: 2/7 + 3/7 = ?

Answer: 5/7

Steps:

  1. Add numerators: 2 + 3 = 5
  2. Keep denominator: 7
  3. Answer: 5/7

Question 7: 1/5 + 3/5 = ?

Answer: 4/5

Steps:

  1. Add numerators: 1 + 3 = 4
  2. Keep denominator: 5
  3. Answer: 4/5

Question 8: 3/8 + 2/8 = ? (simplify)

Answer: 5/8

Steps:

  1. Add: 3 + 2 = 5
  2. Result: 5/8
  3. Already in simplest form

Question 9: 2/6 + 3/6 = ? (simplify)

Answer: 5/6

Steps:

  1. Add: 2 + 3 = 5
  2. Result: 5/6
  3. Already simplified

Question 10: 4/10 + 3/10 = ? (simplify)

Answer: 7/10

Steps:

  1. Add: 4 + 3 = 7
  2. Result: 7/10
  3. Already in simplest form

Question 11: 1/4 + 2/4 + 1/4 = ?

Answer: 4/4 or 1

Steps:

  1. Add all numerators: 1 + 2 + 1 = 4
  2. Keep denominator: 4
  3. 4/4 = 1 whole

Question 12: 5/8 - 2/8 = ?

Answer: 3/8

Steps:

  1. Subtract numerators: 5 - 2 = 3
  2. Keep denominator: 8
  3. Answer: 3/8

Question 13: 7/9 - 3/9 = ?

Answer: 4/9

Steps:

  1. Subtract: 7 - 3 = 4
  2. Keep: 9
  3. Answer: 4/9

Question 14: 6/7 - 2/7 = ?

Answer: 4/7

Steps:

  1. Subtract: 6 - 2 = 4
  2. Keep: 7
  3. Answer: 4/7

Question 15: 9/10 - 4/10 = ? (simplify)

Answer: 1/2

Steps:

  1. Subtract: 9 - 4 = 5
  2. Result: 5/10
  3. Simplify: 5/10 = 1/2

Question 16: 8/12 - 3/12 = ? (simplify)

Answer: 5/12

Steps:

  1. Subtract: 8 - 3 = 5
  2. Result: 5/12
  3. Already in simplest form

Question 17: 6/6 - 4/6 = ? (simplify)

Answer: 1/3

Steps:

  1. Subtract: 6 - 4 = 2
  2. Result: 2/6
  3. Simplify: 2/6 = 1/3

Question 18: Convert to improper: 2 1/4

Answer: 9/4

Steps:

  1. (2 × 4) + 1 = 9
  2. Put over denominator: 9/4
  3. Answer: 9/4

Question 19: Convert to mixed: 11/3

Answer: 3 2/3

Steps:

  1. 11 ÷ 3 = 3 R 2
  2. Whole: 3, Remainder: 2/3
  3. Answer: 3 2/3

Question 20: Convert to improper: 1 3/5

Answer: 8/5

Steps:

  1. (1 × 5) + 3 = 8
  2. Over 5: 8/5
  3. Answer: 8/5

Question 21: Convert to mixed: 17/4

Answer: 4 1/4

Steps:

  1. 17 ÷ 4 = 4 R 1
  2. Whole: 4, Fraction: 1/4
  3. Answer: 4 1/4

Question 22: Convert to improper: 3 2/3

Answer: 11/3

Steps:

  1. (3 × 3) + 2 = 11
  2. Over 3: 11/3
  3. Answer: 11/3

Question 23: Convert to mixed: 23/6

Answer: 3 5/6

Steps:

  1. 23 ÷ 6 = 3 R 5
  2. Whole: 3, Fraction: 5/6
  3. Answer: 3 5/6

Question 24: Convert to improper: 4 1/2

Answer: 9/2

Steps:

  1. (4 × 2) + 1 = 9
  2. Over 2: 9/2
  3. Answer: 9/2

Question 25: Convert to mixed: 29/8

Answer: 3 5/8

Steps:

  1. 29 ÷ 8 = 3 R 5
  2. Whole: 3, Fraction: 5/8
  3. Answer: 3 5/8

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