12/14 as a Decimal

Answer

12/14 in decimals can be written as approximately 0.8571. It is a terminating decimal.

Explanation

To get 12/14 in decimal, we will use division method. Here, we divide 12 by 14 to obtain the decimal form.

Step 1: Identify the numerator and denominator because numerator (12) will be taken as dividend and denominator (14) will be taken as divisor.

Step 2: Divide 12 by 14. Since 12 is smaller than 14, the quotient begins with 0. So, we add a decimal point and bring down a zero to make it 120.

Step 3: Determine how many times 14 goes into 120. 14 goes into 120 approximately 8 times (14 × 8 = 112).

Step 4: Write 8 in the quotient place and subtract 112 from 120, giving a remainder of 8.

Step 5: Bring down another 0, making it 80. Divide 80 by 14, which goes approximately 5 times (14 × 5 = 70).

Step 6: Write 5 in the quotient place and subtract 70 from 80, leaving a remainder of 10.

Step 7: Bring down another 0, making it 100. Divide 100 by 14, which goes approximately 7 times (14 × 7 = 98).

Step 8: Write 7 in the quotient place and subtract 98 from 100, leaving a remainder of 2.

Step 9: Bring down another 0, making it 20. Divide 20 by 14, which goes approximately 1 time (14 × 1 = 14). Step 10: Write 1 in the quotient place, and continue the process if needed. However, for practical purposes, we often end at four decimal places.

The answer for 12/14 as a decimal is approximately 0.8571.

• 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.

• Terminating Decimal: A decimal that ends after a finite number of digits.