Fractions - Free MCQ Test with solutions, Class 6 1000+ Questions

To express the mixed number 7 (3/4) as an improper fraction:

1. Multiply the whole number (7) by the denominator (4):
   7 × 4 = 28

2. Add the result to the numerator (3):
   28 + 3 = 31

3. Place the result over the original denominator (4):
   Improper fraction = 31/4

So, the correct answer is Option 4: 31/4.

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.

shaded boxes : 5

unshaded boxes :2 

total boxes : 7

fraction of shaded box = 5/7

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.

To simplify the fraction 16/72:

1. Find the greatest common divisor (GCD) of 16 and 72:

   • Prime factorization of 16: 16 = 2⁴
   • Prime factorization of 72: 72 = 2³ × 3²

   The common prime factor is 2. The lowest power of 2 in the factorizations is 2³, so the GCD is 8.

2. Divide both the numerator and denominator by their GCD (8): 16 ÷ 8 = 2
   72 ÷ 8 = 9

Thus, the simplest form of 16/72 is:
2/9

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.
5 (6/7) = (5 x 7 + 6) / 7 = 41/7

shaded boxes : 8

unshaded boxes :1 

total boxes : 9 

fraction of shaded box = 8/9

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 6 (2/3)  would be representatio in mixed form

To simplify 16/24, find the greatest common divisor (GCD) of 16 and 24, which is 8. Divide both the numerator and the denominator by 8:

16/24 = 16 ÷ 8 / 24 ÷ 8 = 2/3.

The simplest form is 2/3, so the correct answer is:
c) 2/3.

We are tasked to find what fraction of an hour 40 minutes represents.

Step 1: Total minutes in an hour

An hour has 60 minutes.

Step 2: Express 40 minutes as a fraction

The fraction is:

Fraction = 40 / 60

Simplify the fraction:

40 / 60 = 2 / 3

Final Answer

The fraction of an hour that is 40 minutes is:

2/3

Correct option: (c) 2/3

The correct answer is option 'C' (5/7) because:

• A proper fraction requires the numerator to be less than the denominator.
• In this case, 5 is less than 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.

- 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.

Fractions that have different denominators are called unlike fractions because their denominators (the bottom number) are not the same. This makes them dissimilar in terms of their denominator value.

To simplify 15/75, divide both the numerator and denominator by their greatest common divisor (GCD), which is 15.

15 ÷ 15 = 1, 75 ÷ 15 = 5

The simplest form is 1/5.

To find what should be added to 11/17 to make it 15/17, subtract 11/17 from 15/17:

15/17 - 11/17 = (15 - 11)/17 = 4/17

Thus, the number to be added is 4/17.

To add 5/6 + 1/3:

1. Make the denominators the same:
   1/3 = 2/6.

2. Add the numerators:
   5/6 + 2/6 = (5 + 2)/6 = 7/6.

Thus, the sum is: 7/6.