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All questions of Fractions for Class 6 Exam

If 5/6 is equivalent to X/24, then what is the value of X?
  • a)
    15
  • b)
    20
  • c)
    25
  • d)
    30
Correct answer is option 'B'. Can you explain this answer?

Shubham Gupta answered
Understanding the Problem
To find the value of X in the equation 5/6 = X/24, we need to set up a proportion. This means that the two ratios on either side of the equation are equivalent.
Setting Up the Equation
1. Write the equation:
5/6 = X/24
2. Use cross-multiplication to solve for X:
5 * 24 = 6 * X
Calculating the Values
1. Multiply 5 by 24:
5 * 24 = 120
2. Now the equation looks like this:
120 = 6X
3. To isolate X, divide both sides by 6:
X = 120 / 6
Final Calculation
1. Perform the division:
120 ÷ 6 = 20
2. Thus, the value of X is 20.
Conclusion
The correct answer is option 'B'. To summarize:
- Cross-multiply to set up the equation.
- Calculate 5 times 24 to get 120.
- Divide 120 by 6 to find X.
Hence, X = 20.

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

Subset Academy answered
A proper fraction is a fraction where the numerator (the top number) is smaller than the denominator (the bottom number).
4/5​ is a proper fraction because 4 is less than 5.
So, Option A: 45\frac{4}{5}54​ is the correct answer.

What is the equivalent fraction of 5/12 having denominator 84?
  • a)
    25/84
  • b)
    35/84
  • c)
    30/84
  • d)
    40/84
Correct answer is option 'B'. Can you explain this answer?

Solution:

To find the equivalent fraction of 5/12 with a denominator of 84, we need to multiply both the numerator and the denominator by the same number so that the denominator becomes 84.

Step 1: Find the common factor between the current denominator (12) and the desired denominator (84).
- The common factor between 12 and 84 is 12.

Step 2: Divide the desired denominator (84) by the common factor (12) to find the multiplier.
- 84 ÷ 12 = 7

Step 3: Multiply both the numerator and the denominator of the given fraction by the multiplier.
- Numerator: 5 × 7 = 35
- Denominator: 12 × 7 = 84

Therefore, the equivalent fraction of 5/12 with a denominator of 84 is 35/84.

Explanation:

- Fractions represent parts of a whole. They can be equivalent to each other if their values are the same. To find an equivalent fraction, we can multiply or divide the numerator and denominator by the same number.
- In this question, we are given the fraction 5/12 and asked to find an equivalent fraction with a denominator of 84.
- To achieve this, we need to find the multiplier that will make the current denominator (12) equal to the desired denominator (84).
- The common factor between 12 and 84 is 12. Dividing 84 by 12 gives us a multiplier of 7.
- By multiplying both the numerator and denominator of the given fraction by 7, we get the equivalent fraction 35/84.
- This means that 35 out of 84 parts is the same as 5 out of 12 parts.
- The correct answer is option 'B' - 35/84.

What is the equivalent fraction of 56/70 with numerator 4?
  • a)
    4/15
  • b)
    4/6
  • c)
    4/5
  • d)
    4/7
Correct answer is option 'C'. Can you explain this answer?

Maitri Bajaj answered
To find the equivalent fraction of 56/70 with a numerator of 4, we need to divide both the numerator and the denominator by the same number to simplify the fraction.

Step 1: Find the greatest common divisor (GCD) of 56 and 70.
The GCD of 56 and 70 is 14.

Step 2: Divide both the numerator and the denominator by the GCD.
56 ÷ 14 = 4
70 ÷ 14 = 5

Therefore, the equivalent fraction of 56/70 with a numerator of 4 is 4/5.

Explanation:
- To find an equivalent fraction, we need to divide both the numerator and the denominator by the same number.
- The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.
- In this case, the GCD of 56 and 70 is 14.
- Dividing both the numerator and the denominator by 14 simplifies the fraction to 4/5.
- This means that 4/5 is an equivalent fraction to 56/70, with a numerator of 4.
- Option C, 4/5, is the correct answer.

  • a)
    6
  • b)
    8
  • c)
    7
  • d)
    10
Correct answer is option 'B'. Can you explain this answer?

Required expression

= 14 – [12 – {9 – (7 – 4)}]
= 14 – [12 – {9 – 3}] 
= 14 – [12 – 6] 
= 14 – 6 = 8 

What of the following is not correct?
  • a)
    2/5 > 1/3
  • b)
    1/4 < 2/3
  • c)
    None of these
  • d)
    1/7 > 3/5
Correct answer is option 'D'. Can you explain this answer?

Get Idea answered
  • Option A: 2/5 > 1/3: Convert to decimals: 2/5 = 0.4 and 1/3 ≈ 0.3333. Since 0.4 > 0.3333, this statement is true.
  • Option B: 1/4 < 2/3: Convert to decimals: 1/4 = 0.25 and 2/3 ≈ 0.6667. Since 0.25 < 0.6667, this statement is true.
  • Option D: 1/7 > 3/5: Convert to decimals: 1/7 ≈ 0.1429 and 3/5 = 0.6. Since 0.1429 < 0.6, this statement is false.
So, therefore Correct answer is (D).

A fraction equivalent to 2/3 is 
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Get Idea answered
To find a fraction equivalent to 2/3​, we can multiply both the numerator and the denominator by the same non-zero number. Here are some examples:

Thus, fractions like 4/6​, 6/9​, and 8/12 are equivalent to 2/3.

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