14/3 as a Decimal

Answer

14/3 in decimals can be written as 4.66666… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 14/3 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

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

Step 2: Divide 14 by 3. Since 14 is greater than 3, we can proceed with the division.

Step 3: 3 goes into 14 four times (3 × 4 = 12), so we write 4 in the quotient place and subtract 12 from 14, leaving a remainder of 2.

Step 4: Bring down a 0 to make it 20. Divide 20 by 3, which goes 6 times (3 × 6 = 18), so write 6 in the quotient place and subtract 18 from 20, leaving a remainder of 2.

Step 5: Repeat the process by bringing down another 0, making it 20, and divide by 3 again. The division process continues without the remainder becoming 0, creating a recurring decimal.

The answer for 14/3 as a decimal is 4.6666....

• 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.
   
• Recurring Decimal: A decimal number that has digits repeating infinitely after the decimal point.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Divisor: The number by which another number (the dividend) is divided.