Fractions MCQ Test — Class 6 CBSE

Solution:

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

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

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

Solution:

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

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

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

Solution:

Divide the numerator (17) by the denominator (5). — 17 ÷ 5

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

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

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

Solution:

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

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

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

Solution:

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

Both 15 and 20 are divisible by 5.

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

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

Solution:

To find the whole numbers between which 9/4 lies, convert it to a mixed fraction.

Divide 9 by 4: 9 ÷ 4 = 2 with a remainder of 1.

So, 9/4 as a mixed fraction is 2 (1/4).

Since 2 (1/4) is greater than 2 but less than 3, it lies between the whole numbers 2 and 3.

Solution:

All the given fractions have the same denominator, which is 9.

When comparing fractions with the same denominator, we simply compare their numerators.

The numerators are 5, 7, 2, and 4. The largest numerator is 7.

Therefore, 7/9 is the greatest fraction among the given options.

Solution:

All the given fractions have the same numerator, which is 3.

When comparing fractions with the same numerator, the fraction with the largest denominator is the smallest in value.

The denominators are 5, 7, 4, and 8. The largest denominator is 8.

Therefore, 3/8 is the smallest fraction among the given options.

Solution:

Kiran's reasoning is incorrect. To compare fractions, we need to either find a common denominator or simplify the fractions.

The fraction 2/6 can be simplified by dividing both the numerator and the denominator by their common factor, 2. (2 ÷ 2) / (6 ÷ 2) = 1/3.

Alternatively, we can find an equivalent fraction for 1/3 with a denominator of 6. Multiply numerator and denominator by 2: (1 × 2) / (3 × 2) = 2/6.

Since 1/3 is equivalent to 2/6, they are equal. Kiran's method of comparing individual numerators and denominators separately is flawed.

Solution:

Total number of students in the class = 30.

Number of girls = 18.

Number of boys = Total students - Number of girls = 30 - 18 = 12.

The fraction of the class that are boys is the number of boys divided by the total number of students: 12/30.