Test: Fractions - Grade 6 MCQ

Blocks shaded = 1

Total Blocks = 8

Hence fraction of shaded region = 1/8

2x - 6 = 676/26

2x - 6 = 26

2x = 26 + 6

2x = 32

x = 16

- Let the integer be ( x ).
- According to the problem, x = 1x/3 + 10
- To solve for x , multiplying the entire equation by 3:
3x = x + 30 
transposing x to LHS
2x = 30 
Dividing both sides by 2
x = 15 
- Therefore, the integer is 15, corresponding to option A.

A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.

Consider the fraction 7/12. This fraction is read as ”seven-twelfth” which means that 7 parts out of 12 equal parts in which the whole is divided. In the fraction 7/12, 7 is called the numerator and 12 is called the denominator.

Blocks shaded = 7

Total Blocks = 8

Hence fraction of shaded region = 7/8

=> 14/7 = 0.82

10/12 = 0.833

6/7 = 0.85

18/22 = 0.81

So the increasing order of the fractions is 18/22, 14/17, 10/12 , 6/7.

Answer : B

18/22, 14/17, 10/12, 6/7

Blocks shaded = 4

Total Blocks = 7

Hence fraction of shaded region = 4/7

Blocks shaded = 4

Total Blocks = 6

Hence fraction of shaded region = 4/6 = 2/3

• Find the Greatest Common Divisor (GCD) of the numerator and denominator:

  • The GCD of 12 and 20 is the largest number that divides both 12 and 20 without leaving a remainder.
  • The factors of 12 are: 1, 2, 3, 4, 6, 12
  • The factors of 20 are: 1, 2, 4, 5, 10, 20
  • The common factors are: 1, 2, 4
  • The greatest common factor is 4.

• Divide both the numerator and the denominator by the GCD:

  • Divide 12 by 4 to get 3.
  • Divide 20 by 4 to get 5.

Explanation:

• Fraction Simplification: To express a fraction in its simplest form, you need to divide both the numerator (top number) and the denominator (bottom number) by their greatest common divisor.
• Simplest Form: This means that the fraction 3/5 cannot be reduced any further because 3 and 5 have no common factors other than 1.

"3 out of 7" means that out of a total of 7 fruits, 3 are apples. The fraction is written as 3/7, where:

• Numerator (3): Number of apples
• Denominator (7): Total number of fruits