Test: Fractions - 2 - Class 4 MCQ

• Equivalent Fractions: Two fractions are equivalent if they represent the same portion of a whole, even if they have different numerators and denominators.

• Option D:

  • The first figure shows a circle divided into 4 equal parts, with 2 parts shaded. This represents the fraction 2/4.
  • The second figure shows a circle divided into 2 equal parts, with 1 part shaded. This represents the fraction 1/2​.
  • These two fractions (2/4​ and 1/2) are equivalent because 2/4 simplifies to 1/2​ when both numerator and denominator are divided by 2.

• Other options (A, B, and C) do not have pairs of figures with equivalent shaded fractions.

1. Understanding the Fractions:
   • The first bar is divided into 5 equal parts, with 2 parts shaded. This represents 2/5.
   • The second bar is divided into 4 equal parts, with 2 parts shaded. This represents 2/4.
2. Comparing the Fractions:
   • To compare 2/5 and 2/4, we observe their size or find a common denominator.
   • 2/5: 2 shaded parts out of 5 total parts.
   • 2/4: 2 shaded parts out of 4 total parts.
   • Each part in 2/4 is larger than each part in 2/5, making 2/5 smaller.

The visual representation and comparison show that 2/5 < 2/4.

1. Analyze the Shape:
   • The circle is divided into 8 equal parts.
   • Out of the 8 parts, 3 parts are shaded.
2. Write the Fraction:
   • The fraction representing the shaded part is 3/8, as there are 3 shaded parts out of 8 total parts.
3. Simplify the Fraction:
   • 3/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor (4):
   • 3/8

The shaded part of the circle represents 1/2 of the whole shape. Therefore, the correct answer is A: 3/8.

The correct option is C 
In the above figure, the rectangle is divided into five equal parts out of which three are shaded.
⇒ The figure shows fraction: 3/5
And in the above figure, the rectangle is divided into four equal parts out of which two are shaded.
⇒ The figure shows fraction: 2/4 = 1/2
And in the above figure, the rectangle is divided into ten equal parts out of which four are shaded.
⇒ The figure shows fraction: 4/10 = 2/5
And in the above figure, the circle is divided into four equal parts out of which two are shaded.
⇒ The figure shows fraction: 2/4 = 1/2
Therefore, the third option shown above shows fraction 2/5.

John ate 2/4 of a pizza

Tom, Sarah, and Joane each ate 1/4 of a pizza, so together they ate 1/4 + 1/4 + 1/4 = 3/4 of a pizza

The total amount of pizza eaten is 2/4 + 3/4 = 5/4 of a pizza

They bought 2 pizzas, which is equivalent to 8/4 of a pizza

To find out how much pizza was left, we subtract the amount eaten from the total amount bought: 8/4 - 5/4 = 3/4 of a pizza

To compare the fractions, we look at their values:

• 1/2 is the largest, as it is the biggest fraction.
• 1/3 is next, as it is greater than 1/6 and 1/7.
• 1/6 comes after that.
• 1/7 is the smallest, as it has the largest denominator.

So, the fractions in order from greatest to least are: 1/2, 1/3, 1/6, 1/7.

To find the value of N, we start by setting the fractions equal to each other:
N/6 = 2/3

To solve for N, cross-multiply:

N x 3 = 6 x 2
3N = 12

Divide both sides by 3:
N = 12/ 3
N = 4

Thus, the value of N is 4, so the correct answer is: (c) N = 4.

Half of half means dividing 1/2 by 2:

So, half of half is 1/4.

Two fractions are equivalent if they represent the same value.

• 1/2 and 2/4 are equivalent because both simplify to the same value: 2/4 = 1/2

The other pairs are not equivalent:

• 1/2 and 1/3 are not equal.
• 1/4 and 1/6 are not equal.
• 2/3 and 1/3 are not equal.

When we divide 31 by 8, we get 7 as remainder and 3 as dividend, thus the mixed fraction would be Dividend + Remainder / Divisor = 3 + 7/8 or 3(7/8)