Important Questions Test: Fractions - Grade 6 MCQ

Let the two numbers be x and y respectively.

According to the question :

xy = 8 _______(i)

10x + y + 18 = 10y + x

=> 10x - x + 18 = 10y - y

=> 9(x + 2) = 9y

=> x + 2 = y ______(ii)

Putting the value y in equation (i) we get,

x(x + 2) = 8

=> x² + 2x - 8 = 0

=> x² + 4x - 2x - 8 = 0

=> x(x + 4) - 2(x + 4) = 0

=> (x - 2) (x + 4) = 0

=> x = 2 or - 4

Putting the positive value of x in equation (ii),

2 + 2 = y = 4

Hence, The number is : 2 × 10 + 4 = 20 + 4 = 24

We will be using the concepts of fractions to determine what fraction of these circles have X’s in them.

The total number of circles is 8, out of which 4 circles have X's in them.
The fraction of circles having X's in them = 4 / 8 where 4 is the part of total circles that have X's in them.

∴ Fraction of circles that represent X's in them = 4 / 8 or 1/ 2.

The fraction of shaded region is equal to the number of shaded parts divided by the number of total parts that are present in the diagram.
In the fig.
Total no. of parts = 8
No. of shaded parts = 4
Fraction of shaded region = 4/8 = 1/2.

The fractional form of five eighteenths 

= 5/18

Answer: Since 1 day = 24hours

1hour=1/24 hours

Then, 8 hours will be –

8hours= 1/24 x 8

= 8/24

= 1/3. 

Therefore 8 hours is 1/3 of the day.

To convert a mixed fraction into an improper fraction, we need to multiply the denominator with the whole number and then add the numerator. The resulting term will be written as a numerator of an improper fraction.

Like Fractions: The fractions having the same denominators are known as like fractions. We know that fractions such as 2/5, 3/5, 5/5, 7/5, 9/5, …. etc., are like fractions.

20 divided by 3 gives 6 as quotient and 2 as remainder
  would be representatio in mixed form

The correct answer is option 'c' (5/7).

The term above the fraction bar in a fraction is called the numerator. It shows the number of parts that are selected.

Natural numbers from 102 to 113: 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113 
Prime numbers from 102 to 113: 103, 107, 109, 113 
Hence fraction of prime numbers = 4/12 = 1/3.

Answer: C.

Solution:

- A fraction represents a part of a whole or a part of a group.
- It is expressed as a ratio of two numbers, the numerator (top number) indicates how many parts we have, and the denominator (bottom number) indicates the total number of equal parts.
- For example, in the fraction 1/2, 1 is the numerator, and 2 is the denominator, meaning one part out of two.

The total given region in the figure = 7
Shaded region in the figure = 4
Fraction representing the shaded region = Shaded region in the figure / The total given region in the figure
= 4/7 answer.