6/18 as a Decimal

Answer

6/18 in decimals can be simplified first to 1/3, which can then be written as 0.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 6/18 in decimal, we can simplify it first. Divide both the numerator and the denominator by their greatest common divisor, which is 6. 6 ÷ 6 = 1 and 18 ÷ 6 = 3, so 6/18 simplifies to 1/3.

Step 1: Identify the simplified fraction, which is 1/3.

Step 2: Use the division method to convert 1/3 to a decimal. Here, as 1 is smaller than 3, we will take help of the decimal method, which will give us 0.3333.

Step 3: 1 is smaller than 3, so we can't divide directly. We'll add a decimal point and a 0 to make it 10 in the dividend place.

Step 4: Divide 10 by 3. 3 goes into 10 three times (3 × 3 = 9). Subtract 9 from 10 to get 1.

Step 5: Bring down another 0, making it 10 again, and repeat the division process. This division process continues indefinitely.

Showing that 1/3 as a decimal is 0.3333……

• 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 in which one or more digits repeat infinitely.