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All questions of Fractions for Class 5 Exam

When comparing the fractions 5/12 and 7/16, which is greater?
  • a)
    7/16
  • b)
    5/12
  • c)
    Cannot be determined
  • d)
    They are equal
Correct answer is option 'A'. Can you explain this answer?

Shalini Iyer answered
Understanding the Comparison of Fractions
To determine which fraction is greater between 5/12 and 7/16, we can use the method of cross-multiplication or find a common denominator.
Method 1: Cross-Multiplication
- For fractions a/b and c/d, we compare by calculating:
- a × d and b × c
- Here, a = 5, b = 12, c = 7, d = 16.
- Calculate:
- 5 × 16 = 80
- 12 × 7 = 84
- Now, compare:
- Since 80 < 84,="" this="" means="" 5/12="" />< 7/16.="" />Method 2: Finding a Common Denominator
- The least common multiple (LCM) of 12 and 16 can help us compare the fractions directly.
- LCM of 12 and 16 is 48.
- Convert both fractions:
- 5/12 = (5 × 4) / (12 × 4) = 20/48
- 7/16 = (7 × 3) / (16 × 3) = 21/48
- Now, compare:
- 20/48 < 21/48.="" />Conclusion
- Both methods show that 7/16 is greater than 5/12. Therefore, the correct answer is option 'A', which states that 7/16 is the greater fraction.
Understanding these methods will help you compare any fractions effectively!

Which of the following fractions is a proper fraction?
  • a)
    3/2
  • b)
    4/5
  • c)
    5/3
  • d)
    6/6
Correct answer is option 'B'. Can you explain this answer?

Understanding Proper Fractions
A proper fraction is defined as a fraction in which the numerator (the top number) is less than the denominator (the bottom number). This means that the value of the fraction is less than one.
Analyzing the Given Options
Let's evaluate each option to determine which one is a proper fraction:
  • a) 3/2: Here, the numerator (3) is greater than the denominator (2). This makes it an improper fraction.
  • b) 4/5: In this case, the numerator (4) is less than the denominator (5). Therefore, this is a proper fraction.
  • c) 5/3: The numerator (5) exceeds the denominator (3), making this an improper fraction.
  • d) 6/6: Since the numerator (6) is equal to the denominator (6), this fraction equals 1, which is not a proper fraction.

Conclusion
Based on the analysis above, the only proper fraction from the options provided is:
4/5 (option b).
This fraction is less than one, satisfying the condition of a proper fraction.

How do you convert the mixed number 4 2/3 into an improper fraction?
  • a)
    10/3
  • b)
    12/3
  • c)
    14/3
  • d)
    16/3
Correct answer is option 'C'. Can you explain this answer?

Glitz Classes answered
Multiply the whole number by the denominator (4 × 3 = 12) and add the numerator (12 + 2 = 14). So, 4 2/3 = 14/3.
  • 5/7
  • Which of the following fractions cannot be simplified?

    What is the numerator in the fraction 7/10?
    • a)
      7
    • b)
      10
    • c)
      1
    • d)
      3
    Correct answer is option 'A'. Can you explain this answer?

    Edu Impact answered
    The numerator is the top number of a fraction, representing the number of selected parts. In the fraction 7/10, 7 is the numerator.

    Which method can be used to compare unlike fractions?
    • a)
      Cross-multiplication
    • b)
      Addition
    • c)
      Division
    • d)
      Subtraction
    Correct answer is option 'A'. Can you explain this answer?

    Gunjan Lakhani answered
    Cross-multiplication can be used to compare unlike fractions. For example, to compare 2/3 and 3/5, multiply 2 by 5 and 3 by 3. Since 10 > 9, 2/3 is greater than 3/5.

    If you multiply 3/5 by 2, what is the result?
    • a)
      3/2
    • b)
      3/10
    • c)
      6/5
    • d)
      1/5
    Correct answer is option 'C'. Can you explain this answer?

    Gunjan Lakhani answered
    When multiplying a fraction by a whole number, multiply the numerator by that number while keeping the denominator the same. Thus, (3 × 2)/5 = 6/5.

    Which of the following is an example of equivalent fractions?
    • a)
      5/6 and 3/4
    • b)
      1/3 and 2/5
    • c)
      2/4 and 4/8
    • d)
      1/2 and 3/5
    Correct answer is option 'C'. Can you explain this answer?

    Kds Coaching answered
    Equivalent fractions represent the same value or part of a whole. In this case, 2/4 and 4/8 both simplify to 1/2, making them equivalent.

    What is 5/6 plus 1/3?
    • a)
      3/6
    • b)
      7/6
    • c)
      1 1/2
    • d)
      1
    Correct answer is option 'B'. Can you explain this answer?

    Gunjan Lakhani answered
    To add these fractions, convert 1/3 to 2/6 (common denominator). Thus, 5/6 + 2/6 = 7/6.

    What is the result of dividing 3/8 by 1/4?
    • a)
      3/2
    • b)
      6/8
    • c)
      12/8
    • d)
      3/32
    Correct answer is option 'A'. Can you explain this answer?

    To divide by a fraction, multiply by its reciprocal. Thus, 3/8 ÷ 1/4 = 3/8 × 4/1 = 12/8, which simplifies to 3/2.

    What is the lowest term of the fraction 18/24?
    • a)
      6/8
    • b)
      3/4
    • c)
      2/3
    • d)
      1/2
    Correct answer is option 'B'. Can you explain this answer?

    Gunjan Lakhani answered
    The highest common factor (H.C.F.) of 18 and 24 is 6. Dividing both by 6 gives 3/4, which is the fraction in its lowest terms.

    Which of the following fractions is a unit fraction?
    • a)
      2/3
    • b)
      1/5
    • c)
      3/4
    • d)
      4/6
    Correct answer is option 'B'. Can you explain this answer?

    Glitz Classes answered
    A unit fraction is defined as a fraction where the numerator is 1. Therefore, 1/5 is a unit fraction, while the others have numerators greater than 1.

    When adding the fractions 2/3 and 1/6, what is the result?
    • a)
      1
    • b)
      1/2
    • c)
      5/6
    • d)
      3/6
    Correct answer is option 'C'. Can you explain this answer?

    Gunjan Lakhani answered
    To add these fractions, find a common denominator (which is 6 in this case). Convert 2/3 to 4/6, then add: 4/6 + 1/6 = 5/6.

    How do you find the reciprocal of the fraction 4/9?
    • a)
      9/4
    • b)
      1/4
    • c)
      9/1
    • d)
      4/1
    Correct answer is option 'A'. Can you explain this answer?

    Gunjan Lakhani answered
    The reciprocal of a fraction is found by swapping the numerator and denominator. Thus, the reciprocal of 4/9 is 9/4.

    What is the improper fraction of the mixed number 3 1/4?
    • a)
      4/3
    • b)
      7/4
    • c)
      3/4
    • d)
      13/4
    Correct answer is option 'D'. Can you explain this answer?

    To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Here, (3 × 4) + 1 = 13, so 3 1/4 is 13/4.

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