1/14 as a Decimal

Answer

1/14 in decimals can be written as 0.07142857142857..... It is a recurring decimal, indicating that it repeats the same sequence of digits infinitely.

Explanation

To get 1/14 in decimal, we will use the division method. Since 1 is smaller than 14, we will use the decimal method, which will give us 0.07142857142857. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 14, it can't be divided; here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide by 14. So, we bring down another 0, making it 100.

Step 4: 14 goes into 100 seven times (14 × 7 = 98). Write 7 in the quotient place and subtract 98 from 100, giving 2.

Step 5: Bring down another 0, making it 20. 14 goes into 20 once (14 × 1 = 14). Write 1 in the quotient and subtract 14 from 20, giving 6.

Step 6: Bring down another 0, making it 60. 14 goes into 60 four times (14 × 4 = 56). Write 4 in the quotient and subtract 56 from 60, giving 4.

Step 7: Repeat the process by bringing down 0 to make it 40, and continue the division. The division process continues without resulting in a remainder of 0, making this a recurring decimal.

The answer for 1/14 as a decimal will be 0.07142857142857......

• 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.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.