3/14 as a Decimal

Answer

3/14 in decimals can be written as approximately 0.2142857. It is a repeating decimal with a repeating pattern of 2142857.

Explanation

To get 3/14 in decimal, we will use the division method. Here, as 3 is smaller than 14, we will take the help of the decimal method which will give us 0.2142857. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (14) will be taken as the divisor.

Step 2: As 3 is smaller than 14, it can't be divided straightforwardly. We will add a decimal point in the quotient place and append 0 to the dividend, making it 30.

Step 3: Now, we can divide 30 by 14. 14 goes into 30 two times (14 × 2 = 28).

Step 4: Subtract 28 from 30, which leaves us with 2. Bring down another 0, making it 20.

Step 5: 14 goes into 20 once (14 × 1 = 14), subtract to get 6, bring down another 0, making it 60.

Step 6: Continue this process, and you will observe the repeating pattern 2142857.

The answer for 3/14 as a decimal is approximately 0.2142857.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part 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 pattern of one or more digits repeats infinitely.