17/6 as a Decimal

Answer

17/6 in decimals can be written as 2.8333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 17/6 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 (17) will be taken as the dividend and the denominator (6) will be taken as the divisor.

Step 2: Divide 17 by 6. The whole part of the division is 2 because 6 × 2 = 12, and 17 - 12 = 5.

Step 3: Since we have a remainder of 5, we continue the division by adding a decimal point and a zero to the remainder, making it 50.

Step 4: Now divide 50 by 6. The quotient is 8 because 6 × 8 = 48, and 50 - 48 = 2.

Step 5: Bring down another 0 in the dividend place, making it 20. Repeat the division process.

Step 6: Divide 20 by 6. The quotient is 3 because 6 × 3 = 18, and 20 - 18 = 2. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 17/6 as a decimal will be 2.8333...

• 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.