11/6 as a Decimal

Answer

11/6 in decimals can be written as 1.83333... It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 11/6 in decimal form, we will use the division method. Since 11 is larger than 6, we can divide it directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (11) will be taken as the dividend, and the denominator (6) will be taken as the divisor.

Step 2: Divide 11 by 6. Since 11 is greater than 6, we can perform the division.

Step 3: 6 goes into 11 once. We write 1 in the quotient place and subtract 6 from 11, which gives 5. Step 4: Bring down a 0 to make it 50, then divide by 6.

Step 5: 6 goes into 50 eight times (6 × 8 = 48). Write 8 in the quotient, subtract 48 from 50, which gives 2.

Step 6: Bring down another 0 to make it 20, then divide by 6.

Step 7: 6 goes into 20 three times (6 × 3 = 18). Write 3 in the quotient, subtract 18 from 20, which gives 2.

Step 8: Repeat the process, and you'll get another 3. The division process continues, and the remainder doesn't become 0, indicating a recurring decimal.

The answer for 11/6 as a decimal is 1.8333...

• 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.

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

• 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.