Question

Use the greatest common factor to simplify 6472 .(1 point)Responses787 eighths565 sixths898 ninths454 fifthsQuestion 2 Use the greatest common factor to simplify 7284(1 point)Responses676 sevenths565 sixths787 eighths898 ninthsQuestion 3 Use the greatest common factor to simplify 4856(1 point)Responses232 thirds343 fourths464 sixths676 seventhsQuestion 4 Use the greatest common factor to simplify 4044(1 point)Responses101110 over 119109 tenths898 ninths787 eighthsQuestion 5 Use the greatest common factor to simplify 110120(1 point)Responses121 half101210 over 12111211 over 121121 over 12Skip to navigation

Answer 1

To simplify each of these fractions, we will find the greatest common factor (GCF) for the numerator and denominator, then divide both by the GCF.

Question 1: Simplifying 6472

• Finding GCF of 64 and 72:

  • Factors of 64: 1, 2, 4, 8, 16, 32, 64
  • Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
  • GCF is 8

• Now divide both by the GCF:

  • \( \frac{64 \div 8}{72 \div 8} = \frac{8}{9} \)

Answer: 898 ninths

Question 2: Simplifying 7284

• Finding GCF of 72 and 84:

  • Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
  • Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
  • GCF is 12

• Now divide both by the GCF:

  • \( \frac{72 \div 12}{84 \div 12} = \frac{6}{7} \)

Answer: 676 sevenths

Question 3: Simplifying 4856

• Finding GCF of 48 and 56:

  • Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  • Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
  • GCF is 8

• Now divide both by the GCF:

  • \( \frac{48 \div 8}{56 \div 8} = \frac{6}{7} \)

Answer: 676 sevenths

Question 4: Simplifying 4044

• Finding GCF of 40 and 44:

  • Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
  • Factors of 44: 1, 2, 4, 11, 22, 44
  • GCF is 4

• Now divide both by the GCF:

  • \( \frac{40 \div 4}{44 \div 4} = \frac{10}{11} \)

Answer: 101110 over 119

Question 5: Simplifying 110120

• Finding GCF of 110 and 120:

  • Factors of 110: 1, 2, 5, 10, 11, 22, 55, 110
  • Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
  • GCF is 10

• Now divide both by the GCF:

  • \( \frac{110 \div 10}{120 \div 10} = \frac{11}{12} \)

Answer: 1112 over 121

Summary of Answers:

1. Question 1: 898 ninths
2. Question 2: 676 sevenths
3. Question 3: 676 sevenths
4. Question 4: 101110 over 119
5. Question 5: 1112 over 121