3/17 as a Decimal

Answer

3/17 in decimals can be written as approximately 0.17647. This is a non-recurring decimal, meaning the digits do not repeat indefinitely.

Explanation

To convert 3/17 into a decimal, we will use long division. Let's break down the process step by step:

Step 1: Identify the numerator and denominator because the numerator (3) will be the dividend and the denominator (17) will be the divisor.

Step 2: Since 3 is smaller than 17, it cannot be divided directly, so we will use decimal points. We will add 0 to the dividend, making it 30, and place a decimal point in the quotient.

Step 3: Now, divide 30 by 17. 17 goes into 30 once, so we write 1 in the quotient and subtract 17 from 30, leaving us with 13.

Step 4: Bring down another 0, making it 130. Divide 130 by 17. 17 goes into 130 seven times, so we write 7 in the quotient and subtract 119 from 130, leaving us with 11.

Step 5: Bring down another 0, making it 110. Repeat the division process. This process continues until you decide on the required decimal places.

The answer for 3/17 as a decimal is approximately 0.17647.

• Fraction: A numerical quantity representing a part of a whole, with a numerator and a denominator.

• Decimal: A numerical system that uses 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.

• Long Division: A method used to divide larger numbers, breaking down the division into a series of simpler steps.