11/28 as a Decimal

Answer

11/28 in decimals can be written as approximately 0.392857. This is a terminating decimal, as it ends after a certain number of digits.

Explanation

To convert 11/28 into a decimal, we will use the division method. Since 11 is smaller than 28, we will use the decimal method to find the value. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend, and the denominator (28) as the divisor.

Step 2: Since 11 is smaller than 28, it can't be divided directly. We will take the help of decimals by adding 0 to the dividend, making 11 into 110, and placing a decimal point in the quotient place.

Step 3: Now, divide 110 by 28. Determine how many times 28 fits into 110.

Step 4: 28 × 3 = 84, which is the nearest multiple less than 110. Place 3 in the quotient and subtract 84 from 110, which gives 26.

Step 5: Bring down another 0, making it 260, and repeat the division process. Continue this process until the remainder becomes 0 or you reach the desired decimal places.

• Fraction: A numerical representation that indicates a part of a whole, comprising a numerator and a denominator.
   
• Decimal: A numerical system using base ten in which a decimal point separates the whole part from the fractional part.
   
• Numerator: The upper part of a fraction, indicating the number of parts considered from the whole.
   
• Denominator: The lower part of a fraction, showing the total number of equal parts that constitute a whole.
   
• Terminating Decimal: A decimal that ends after a finite number of digits and does not repeat indefinitely.