Fractions - 1 - Free MCQ Practice Test with solutions, CTET Mathematics

13/4 can be very conveniently written in a mixed number form. 

To do the same, 13/4 has to be simplified. After finding the new numerator, it will give you the answer in the mixed number form.

When 13 is divided by 4, the quotient is 3, the remainder is 1, and the divisor is 4.

Step-by-step detailed solution:

• Convert the fraction to a decimal:




• When you divide 2 by 3, you get 0.6667 (repeating).




• Convert the decimal to a percentage:




• Multiply 0.6667 by 100 to get 66.67%.




• Round the percentage to the nearest whole number:




• Since 66.67% is closer to 67%, 2/3 is approximately equal to 67%.




• Choose the closest option:




• Among the given options, 42 is the closest to 67.




• Therefore, the answer is A: 42.

• Step 1: Find the greatest common divisor (GCD) of 30 and 45.


• Step 2: Divide both the numerator and denominator by the GCD to simplify the fraction.

• Step 1: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.


• Step 1: The factors of 45 are 1, 3, 5, 9, 15, and 45.


• Step 1: The greatest common divisor of 30 and 45 is 15.


• Step 2: Divide both the numerator and denominator by 15 to simplify the fraction.


• Step 2: 30 ÷ 15 = 2 and 45 ÷ 15 = 3.


• Step 2: Therefore, the simplest form of 30/45 is 2/3.

Explanation:
First Multiplying 42 by 6 
42 × 6 = 252
Now, Divide 252 by 7
252 ÷ 7 = 36.

So, 6/7 of 42 = 36

• Step 1: To find 6/24 of 24, you need to multiply 6/24 by 24.


• Step 2: Calculate 6/24 = 0.25.


• Step 3: Multiply 0.25 by 24 to get the answer.


• Step 4: 0.25 x 24 = 6.

• D: 6

• 6/24 can be simplified to 1/4.


• Multiplying 1/4 by 24 gives you 6.


• Therefore, 6/24 of 24 equals 6.

• Equivalent fractions: Two or more fractions that name the same amount are called equivalent fractions. This means that even though the fractions may look different, they represent the same value or amount.


• Example: 1/2 and 2/4 are equivalent fractions because they represent the same amount, which is half of a whole.


• How to find equivalent fractions: To find equivalent fractions, you can multiply or divide both the numerator and denominator of a fraction by the same number. This will give you a fraction that is equivalent to the original fraction.


• Importance: Understanding equivalent fractions is important in various mathematical operations, such as adding, subtracting, multiplying, and dividing fractions.


• Applications: Equivalent fractions are commonly used in everyday life situations, such as when dividing a cake or pizza into equal parts.

• Step 1: Calculate 12/13 of 26 by multiplying 26 by the fraction 12/13.


• Step 2: 26 * (12/13) = 24


• Step 3: So, 12/13 of 26 equals 24.

Given:
The fractions are 13/19, 25/ 31, 28/31, 70/79.

Calculation:
The values are-
13/19 = 0.68
25/31 = 0.80
28/31 = 0.90
70/79 = 0.88
∴ Option C is correct.

• 9/4 of 36 means 9/4 multiplied by 36


• To find 9/4 of 36, we can multiply 9/4 by 36:

• 9/4 * 36 = (9 * 36) / 4 = 324 / 4 = 81

• 81

Therefore, 9/4 of 36 equals 81.

4/10 is equivalent to 2/5