MDTP Fractions and Rational Numbers 1 — Questions and Answers
Question 1: What is 3/4 + 5/6?
- 8/10
- 4/5
- 19/12 (Correct answer)
- 7/12
Correct answer: 19/12
Finding a common denominator of 12: 9/12 + 10/12 = 19/12.
Question 2: Simplify: 18/24
- 6/8
- 3/4 (Correct answer)
- 9/12
- 2/3
Correct answer: 3/4
GCF of 18 and 24 is 6; 18 ÷ 6 = 3 and 24 ÷ 6 = 4, so the simplified form is 3/4.
Question 3: What is 5/8 × 4/3?
- 20/11
- 5/6 (Correct answer)
- 9/24
- 20/24
Correct answer: 5/6
5/8 × 4/3 = 20/24 = 5/6 after dividing numerator and denominator by 4.
Question 4: Which fraction is greater: 7/9 or 5/7?
- 7/9 (Correct answer)
- 5/7
- They are equal
- Cannot be determined
Correct answer: 7/9
Cross-multiplying: 7 × 7 = 49 and 5 × 9 = 45; since 49 > 45, 7/9 > 5/7.
Question 5: Convert 2 3/5 to an improper fraction.
- 5/3
- 10/5
- 13/5 (Correct answer)
- 11/5
Correct answer: 13/5
2 × 5 + 3 = 13, so the improper fraction is 13/5.
Question 6: What is 7/8 ÷ 7/4?
- 49/32
- 1/2 (Correct answer)
- 2
- 4/7
Correct answer: 1/2
Dividing by a fraction means multiplying by its reciprocal: 7/8 × 4/7 = 28/56 = 1/2.
What is 3/4 + 5/6?