6/14 as a Decimal

Answer

6/14 in decimals can be written as approximately 0.42857. It is a non-terminating, repeating decimal.

Explanation

To convert 6/14 into a decimal, we'll use the division method. We divide the numerator by the denominator. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator. The numerator (6) will be taken as the dividend and the denominator (14) will be taken as the divisor.

Step 2: Divide 6 by 14. Since 6 is smaller than 14, the quotient will start with a 0, and we will use the decimal method.

Step 3: Add a decimal point and a zero to the dividend, making it 60.

Step 4: Determine how many times 14 fits into 60. It fits 4 times (14 × 4 = 56). Subtract 56 from 60 to get 4.

Step 5: Bring down another 0 to make it 40. Divide 40 by 14, which fits 2 times (14 × 2 = 28). Subtract 28 from 40 to get 12.

Step 6: Bring down another 0 to make it 120. Divide 120 by 14, which fits 8 times (14 × 8 = 112). Subtract 112 from 120 to get 8.

Step 7: This process continues.

The decimal representation of 6/14 is approximately 0.42857.

• 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 sequence of digits repeats indefinitely.