Fractions - 2 - Free MCQ Practice Test with solutions, CTET Mathematics

Equivalent fraction of a given fraction is obtained by multiplying its numerator and denominator by the same number.

On cross-multiplication, we get 9 × 8 ×__ 15 × 16
72 < 240
∴ 9 / 16 < 15 / 8.

The required number

The numerator of a proper fraction is less than its denominator.

Five - eighteenth = 5 / 18.

Part of the cake Ravi had = 5 / 6
Part of the Ravi's cake eaten = 2 / 3
∴ Part of the cake eaten = 2 / 3 × 5 / 6 = 5 / 9

The required difference

Convert all fractions to those with the same denominators and compare their numerators.
∴ The fraction greater than 7 / 8 is 11 / 12.

Amount Manish had = Rs.45
Fraction of the amount spent = 35
∴ Amount left = 

Reciprocals of 9 and 2 / 9 are 1 / 9 and 9 / 2 respectively.
Their sum =

1 / 8 < 1 / 4. So, it should lie between 0 and 1.

On cancelling the factors common to numerator and denominator on both the sides,
          


Hence the missing number is 5.

The product of a fraction and its reciprocal is 1.

NO part os shaded hance correct answer will be- 0/8=0

Step 1: Understand the parts

• Whole number part: 2

• Fractional part: 4/5

Step 2: Multiply the whole number by the denominator

Multiply 2 (whole number) by 5 (denominator of the fraction):

2 × 5 = 10

Step 3: Add the numerator

Add the result from Step 2 to the numerator 4:

10 + 4 = 14

Step 4: Write the result as a fraction

Keep the same denominator (5) and put the result as the numerator:

14/5

This is our required simplified form

Score of Pavan = 76 = 4 / 5 of score of Prateek 4 / 5 → 76,
5 / 5 → 76 × 5 / 4
= 19 × 5 = 95
∴ Their total marks = 76 + 95 = 171.

To find the sum of the fractions 2/3 and 10/3, follow these steps:

• Since the denominators are the same, you can add the numerators directly.
• Add the numerators: 2 + 10 = 12.
• Keep the denominator the same: 3.
• So, the sum is 12/3.
• To Simplify 12/3, Divide both numerator and denominator by common factor 4
  we get, 4

Therefore, the sum of the fractions is 4.