17/18 as a Decimal

Answer

17/18 in decimals can be written as approximately 0.9444... It is a recurring decimal, indicating that it will repeat the digits infinitely.

Explanation

To convert 17/18 into a decimal, we will use the division method. Let's break down the process step by step:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (18) as the divisor.

Step 2: Perform the division of 17 by 18. Since 17 is smaller than 18, we use the decimal method by adding a decimal point and zero to the dividend, making it 170.

Step 3: Now that it is 170, divide it by 18. Determine how many times 18 can fit into 170.

Step 4: 18 fits into 170 a total of 9 times (18 × 9 = 162). Write 9 in the quotient place and subtract 162 from 170, giving a remainder of 8.

Step 5: Bring down another 0, making it 80, and repeat the division process. 18 goes into 80 four times (18 × 4 = 72), leaving a remainder of 8 again.

Step 6: Repeat the process by bringing down another 0. This cycle continues, and we see that the remainder does not become 0, resulting in a recurring decimal.

Therefore, the decimal representation of 17/18 is approximately 0.9444...

• Fraction: A numerical representation of a part of a whole, expressed with a numerator and a denominator.

• Decimal: A number that uses the base ten system and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating the number of parts being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up the whole.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.