NCERT Solutions Class 6 Maths Chapter 9 — Fractions

Solution:

Step 1: The total number of equal pieces in the chocolate bar is 8. This will be the denominator.

Step 2: The number of pieces you ate is 3. This will be the numerator.

Step 3: Therefore, the fraction of the chocolate bar eaten is 3/8.

Solution:

Step 1: A proper fraction represents a part of a whole where the value is less than 1.

Step 2: For a fraction's value to be less than 1, the numerator (the part) must be smaller than the denominator (the whole).

Step 3: For example, 1/2, 3/4, 5/7 are all proper fractions where the numerator is less than the denominator.

Solution:

Step 1: Divide the numerator (17) by the denominator (5). [17 ÷ 5]

Step 2: The quotient is 3, and the remainder is 2. (17 = 5 × 3 + 2)

Step 3: The whole number part is the quotient (3), the new numerator is the remainder (2), and the denominator remains the same (5).

Step 4: So, 17/5 as a mixed fraction is 3 (2/5).

Solution:

Step 1: To find an equivalent fraction, we multiply the numerator and denominator by the same number.

Step 2: Let's check the options: If we multiply 2/3 by 5/5, we get (2 × 5) / (3 × 5) = 10/15.

Step 3: Other options: 4/9 is not (2×N)/(3×N), 6/8 simplifies to 3/4, 8/10 simplifies to 4/5.

Solution:

Step 1: To check if 15/20 is in simplest form, we look for common factors of 15 and 20.

Step 2: Both 15 and 20 are divisible by 5.

Step 3: Divide both the numerator and the denominator by their common factor, 5: 15 ÷ 5 = 3 and 20 ÷ 5 = 4.

Step 4: The simplest form of 15/20 is 3/4. Since 3 and 4 have no common factors other than 1, Rani is incorrect.