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All questions of Fractions and Division for Year 5 Exam

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

The fraction 2/4 simplifies to 1/2, meaning both represent the same portion of a whole. Recognizing equivalent fractions is crucial for adding and comparing fractions.

What is the fraction used to represent the shaded parts? 
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Abhiram Desai answered
Number of equal parts = 4 Number of shaded parts = 2 Shaded fraction = 2/4
 
Number of equal parts = 4 Number of shaded parts = 3

∴ Shaded fraction = 3/4 So, fraction used to represent the shaded parts 

What is the total of 5/12 + 1/3?
  • a)
    3/4
  • b)
    1/2
  • c)
    2/3
  • d)
    1
Correct answer is option 'A'. Can you explain this answer?

Converting 1/3 to a fraction with a denominator of 12 gives you 4/12. Adding 5/12 and 4/12 results in 9/12, which simplifies to 3/4. This process emphasizes the importance of common denominators in addition.

If 2/5 of a set costs $30, how much does the whole set cost?
  • a)
    $120
  • b)
    $150
  • c)
    $75
  • d)
    $60
Correct answer is option 'C'. Can you explain this answer?

To find the total cost, divide $30 by 2 and then multiply by 5, giving you $75. This method shows how to determine total costs from fractional parts.

If you divide 1 liter of water equally among 6 containers, how much water does each container receive?
  • a)
    1/4 liter
  • b)
    1/6 liter
  • c)
    1/3 liter
  • d)
    1/2 liter
Correct answer is option 'B'. Can you explain this answer?

Indu Gupta answered
Dividing 1 liter by 6 gives each container 1/6 of a liter, which is approximately 166.67 milliliters. This division illustrates how fractions help in distributing quantities evenly.

Convert the improper fraction 9/4 into a mixed number.
  • a)
    2 1/4
  • b)
    1 1/4
  • c)
    3 1/4
  • d)
    2 1/2
Correct answer is option 'A'. Can you explain this answer?

Freak Artworks answered
Dividing 9 by 4 gives 2 with a remainder of 1, thus 9/4 can be expressed as 2 1/4. Mixed numbers are useful for representing fractions in a more understandable way.

The difference between 
  • a)
    3/8
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Sandeep Das answered
 Converting the fractions into like fractions LCM of 2 and 8 = 8
∴  and 
Now, 

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

A unit fraction has a numerator of 1, such as 1/4. Understanding unit fractions is fundamental when dealing with parts of wholes in various applications.

If you have the fraction 5/6, what is the value of 1/6 of that fraction?
  • a)
    1/36
  • b)
    1/6
  • c)
    5/30
  • d)
    5/36
Correct answer is option 'D'. Can you explain this answer?

Vp Classes answered
To find 1/6 of 5/6, multiply the two fractions together: (5/6) × (1/6) = 5/36. This demonstrates how fractions can be multiplied to find parts of a given amount.

How can you find 3/10 of $50?
  • a)
    $10
  • b)
    $15
  • c)
    $5
  • d)
    $30
Correct answer is option 'B'. Can you explain this answer?

To calculate 3/10 of $50, you can multiply $50 by 3 and then divide by 10. This results in $15, demonstrating how to apply fractions to real-world monetary situations.

How would you express the fraction 6/9 in simplest form?
  • a)
    1/2
  • b)
    1/3
  • c)
    3/4
  • d)
    2/3
Correct answer is option 'D'. Can you explain this answer?

Freak Artworks answered
To simplify 6/9, divide both the numerator and the denominator by their greatest common divisor, which is 3, giving you 2/3. Simplifying fractions is important for clarity and efficiency in calculations.

What does the numerator in a fraction represent?
  • a)
    The number of equal parts being considered
  • b)
    The total number of parts
  • c)
    The sum of all parts
  • d)
    The difference between parts
Correct answer is option 'A'. Can you explain this answer?

The numerator indicates how many parts of the whole are being considered, while the denominator shows the total number of equal parts into which the whole is divided. This understanding is essential for interpreting fractions correctly.

What is the result of 7/8 - 2/8?
  • a)
    1/2
  • b)
    1/8
  • c)
    3/8
  • d)
    5/8
Correct answer is option 'D'. Can you explain this answer?

Freak Artworks answered
When you subtract 2/8 from 7/8, you directly subtract the numerators since the denominators are the same, resulting in 5/8. This illustrates the simplicity of fraction subtraction with like denominators.

To add the fractions 1/5 and 1/10, what is the first step you must take?
  • a)
    Subtract the numerators
  • b)
    Convert to decimal
  • c)
    Find a common denominator
  • d)
    Multiply the numerators
Correct answer is option 'C'. Can you explain this answer?

To add fractions with different denominators, the first step is to find a common denominator, which for 1/5 and 1/10 is 10. This helps in properly aligning the fractions for addition.

How do you convert the mixed number 3 1/4 into an improper fraction?
  • a)
    (3 × 4) + 1 / 4
  • b)
    (3 + 1) / 4
  • c)
    (3 + 4) / 1
  • d)
    (1 × 4) + 3 / 4
Correct answer is option 'A'. Can you explain this answer?

To convert 3 1/4 into an improper fraction, multiply the whole number 3 by the denominator 4 and add the numerator 1, resulting in 13/4. This conversion is essential for performing operations with fractions.

If 1/8 of a set costs $40, what is the total cost of the whole set?
  • a)
    $320
  • b)
    $160
  • c)
    $400
  • d)
    $240
Correct answer is option 'A'. Can you explain this answer?

To find the total cost, multiply $40 by 8, yielding $320. This method demonstrates how fractions can represent parts of a whole in financial contexts.

If you have 1/2 of a pizza and eat 1/4 of it, how much pizza do you have left?
  • a)
    1/2
  • b)
    1/4
  • c)
    3/8
  • d)
    1/8
Correct answer is option 'C'. Can you explain this answer?

Vp Classes answered
Eating 1/4 of 1/2 pizza means you consume 1/8 of the whole pizza, leaving you with 3/8. This scenario illustrates subtraction of fractions in practical situations.

What is the value of 1/100 of $1?
  • a)
    $0.50
  • b)
    $1.00
  • c)
    $0.10
  • d)
    $0.01
Correct answer is option 'D'. Can you explain this answer?

Dividing $1 by 100 gives $0.01, which is equivalent to 1 cent. This calculation is an example of how fractions operate in financial transactions.

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