12/28 as a Decimal

Answer

12/28 in decimals can be written as approximately 0.42857. It is a repeating decimal but does not repeat infinitely within a simple pattern.

Explanation

To get 12/28 in decimal, we will use the division method. Here, 12 is smaller than 28, so we will use the decimal method to get approximately 0.42857. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator as the numerator (12) will be taken as the dividend and the denominator (28) will be taken as the divisor.

Step 2: As 12 is smaller than 28, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 12 as 120, and add a decimal point in the quotient place.

Step 3: Now that it is 120, we can divide it by 28. Let's see how many times 28 fits into 120.

Step 4: 28 goes into 120 four times, as 28 × 4 = 112. We write 4 in the quotient place, subtract 112 from 120, which gives 8.

Step 5: Bring down another 0 in the dividend place, making it 80, then repeat the division process.

Step 6: 28 goes into 80 two times, as 28 × 2 = 56. We write 2 in the quotient and subtract 56 from 80, which gives 24.

Step 7: Bring down another 0, making it 240, then repeat the division process. The division process continues with the remainder changing, indicating a repeating decimal pattern.

The answer for 12/28 as a decimal is approximately 0.42857.

• Fraction: A numerical representation of a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A base-ten numerical system that uses a decimal point to separate the whole number from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Repeating Decimal: A decimal in which a digit or group of digits is repeated indefinitely.