6/17 as a Decimal

Answer:

6/17 in decimals can be written as approximately 0.352941176. It is a non-recurring decimal, meaning it does not repeat the same digit infinitely.

Explanation:

To convert 6/17 into a decimal, we will use the division method. Here, as 6 is smaller than 17, we will take the help of the decimal method, which gives us 0.352941176. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 6 is smaller than 17, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, making 6 as 60 and adding a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 17. Let's see how many times 17 fits in 60.

Step 4: The nearest multiple of 17 less than 60 is 17 x 3 = 51. We will write 3 in the quotient place and subtract 51 from 60, which gives 9.

Step 5: Bring down another 0 in the dividend place to make it 90, and then repeat the division process. The division process continues until we reach a satisfactory level of precision or the remainder reaches 0.

This process results in a non-recurring decimal. The answer for 6/17 as a decimal will be approximately 0.352941176.

• 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.

• Non-Recurring Decimal: A decimal that does not have a repeating pattern.