11/17 as a Decimal

Answer

11/17 as a decimal can be written as approximately 0.6470588235. It is a non-terminating, non-repeating decimal.

Explanation

To convert 11/17 into a decimal, we will use the division method. Here, since 11 is smaller than 17, we will use the decimal method, which will give us approximately 0.6470588235. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (17) will be taken as the divisor.

Step 2: As 11 is smaller than 17, it can't be divided directly; we use decimals. We add 0 to the dividend, making it 110, and add a decimal point in the quotient place.

Step 3: Now, divide 110 by 17. Let's see how many times 17 fits into 110.

Step 4: 17 goes into 110 approximately 6 times, as 17 × 6 = 102. Write 6 in the quotient place and subtract 102 from 110, giving 8.

Step 5: Bring down another 0 to the dividend place, making it 80, and repeat the division process. This division process continues, and we find that the decimal neither terminates nor repeats predictably.

The approximate value of 11/17 as a decimal is 0.6470588235.

• 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-terminating Decimal: A decimal that continues infinitely without repeating a pattern.