17/3 as a decimal

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It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), which in this case is 17, representing how many parts out of the whole are considered. The denominator (number below) shows how many parts make up the whole, here it is 3. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 17/3 as a decimal?

$17/3 as a decimal$ 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.

Important Glossaries for 17/3 as a decimal

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.