NCERT Solutions For Class 6 Maths Chapter 7 Fractions Exercise 7.5 - 2025-26
Vedantu provides NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.5, focusing on Mixed Fractions according to the Class 6 Maths Syllabus. This exercise helps students understand how to convert improper fractions into mixed fractions and vice versa. Our Class 6 Maths NCERT solutions offer simple, step-by-step explanations, making it easy for students to grasp these concepts. With practice questions and clear guidance, students can build their confidence in solving problems related to mixed fractions, which are important for future topics. Download the PDF for free and start learning in a straightforward, effective way.
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Glance on NCERT Solutions Maths Chapter 7 Exercise 7.5 Class 6 | Vedantu
Exercise 7.5 in Class 6 Maths focuses on Mixed Fractions, teaching students how to convert improper fractions into mixed fractions and vice versa.
The exercise includes detailed steps and examples to make the conversion process easy to understand.
It also provides plenty of practice problems to help students apply these concepts, reinforcing their learning.
By completing this exercise, students will gain a solid foundation in handling fractions, which is essential for mastering more advanced mathematical topics in the future.
FAQs on NCERT Solutions For Class 6 Maths Chapter 7 Fractions Exercise 7.5 - 2025-26
1. What is the correct step-by-step method to solve addition or subtraction problems for unlike fractions in Class 6 Maths Chapter 7?
To solve addition or subtraction problems with unlike fractions as per the NCERT solutions for the 2025-26 session, you must follow these steps:
- Find the LCM: First, calculate the Least Common Multiple (LCM) of the denominators of the fractions. This will be your common denominator.
- Create Equivalent Fractions: Convert each fraction into an equivalent fraction with the LCM as the new denominator.
- Perform the Operation: Add or subtract the numerators of the new, like fractions.
- Simplify: Keep the denominator the same and simplify the resulting fraction to its lowest terms if necessary.
2. How do you correctly represent a fraction like 3/5 on a number line for NCERT exercises?
To represent a fraction on a number line correctly, you should follow this method:
- Identify the whole numbers the fraction lies between. For a proper fraction like 3/5, it lies between 0 and 1.
- Divide the segment between these whole numbers (0 and 1) into equal parts, corresponding to the denominator. Here, you divide it into 5 equal parts.
- Starting from zero, count forward by the number of parts indicated by the numerator. The 3rd mark after 0 represents the fraction 3/5.
3. What is the NCERT-prescribed method to convert an improper fraction into a mixed fraction in Chapter 7?
The correct method to convert an improper fraction (e.g., 11/4) to a mixed fraction involves division:
- Divide the numerator by the denominator. (11 ÷ 4)
- The quotient becomes the whole number part of the mixed fraction. (Quotient = 2)
- The remainder becomes the numerator of the fractional part. (Remainder = 3)
- The divisor (the original denominator) remains the denominator. (Denominator = 4)
Thus, 11/4 is correctly converted to the mixed fraction 2 3/4.
4. How can I find the simplest form of a fraction for answers in NCERT solutions?
To find the simplest form of a fraction, you need to divide both the numerator and the denominator by their Highest Common Factor (HCF). For example, to simplify 12/18:
- Find the factors of the numerator (12: 1, 2, 3, 4, 6, 12) and the denominator (18: 1, 2, 3, 6, 9, 18).
- Identify the HCF, which is 6.
- Divide both the numerator and the denominator by the HCF (12 ÷ 6 and 18 ÷ 6).
The simplest form is 2/3.
5. Why is finding a common denominator the most critical step before adding or subtracting unlike fractions?
Finding a common denominator is critical because you can only add or subtract quantities that represent the same type of part or unit size. Fractions with different denominators represent parts of a whole that have been divided into different numbers of pieces (e.g., halves vs. thirds). Converting them to a common denominator (like sixths) ensures you are adding or subtracting pieces of the same size, which makes the operation logically and mathematically valid.
6. How does the concept of equivalent fractions from Chapter 7 help solve comparison problems?
Equivalent fractions are the fundamental tool used to compare unlike fractions. To compare fractions like 2/3 and 3/4, you cannot directly compare the numerators because the denominators (the size of the parts) are different. By finding equivalent fractions with a common denominator (e.g., 8/12 and 9/12), you are rewriting the fractions to have parts of the same size. This allows for a direct and accurate comparison of their numerators (8 vs. 9), making it easy to determine which is greater.
7. What is a common mistake when converting a mixed fraction to an improper fraction, and what is the correct method?
A common mistake is incorrectly adding the whole number to the numerator before multiplying. The correct method to convert a mixed fraction like 3 1/4 into an improper fraction is:
- Multiply the whole number by the denominator (3 × 4 = 12).
- Add the result to the numerator (12 + 1 = 13).
- Write the final sum over the original denominator.
The correct improper fraction is 13/4, not (3+1)/4 or 4/4.
8. How does mastering the methods in NCERT Solutions for Class 6 Fractions prepare students for future Maths topics?
Mastering fractions in Class 6 is foundational for several advanced topics. A strong understanding of fraction operations is essential for:
- Rational Numbers: This topic, introduced in higher classes, is entirely based on the concept of fractions (numbers in the p/q form).
- Decimals and Percentages: These are different ways of representing fractions.
- Algebra: Solving algebraic equations often involves working with fractional coefficients and constants.
- Ratio and Proportion: Ratios are a direct application and comparison of quantities, often expressed as fractions.
