17/3 as a Decimal

Answer

17/3 in decimals can be written as 5.66666. It is a recurring decimal, indicating that the digit will repeat infinitely.

Explanation

To convert 17/3 into a decimal, we will use the division method. Since 17 is larger than 3, we can divide directly. Let's go through the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (17) will be taken as the dividend, and the denominator (3) will be the divisor.

Step 2: Divide 17 by 3. The closest multiple of 3 that fits into 17 is 15 (3 × 5 = 15), giving a quotient of 5 and a remainder of 2.

Step 3: Since we have a remainder, we will add a decimal point in the quotient place and bring down a 0, making the remainder 20.

Step 4: Divide 20 by 3. The closest multiple of 3 that fits into 20 is 18 (3 × 6 = 18), giving a quotient of 6 and a remainder of 2.

Step 5: Repeat the process by bringing down another 0, making it 20 again. The division process continues with the remainder never reaching 0, indicating a recurring decimal.

The answer for 17/3 as a decimal will be 5.6666.

• 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.
   
• 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 that has repeating digits infinitely.