6 4/11 as a Decimal

Answer:

6 4/11 as a decimal can be written as 6.363636... It is a recurring decimal, indicating the digits repeat infinitely.

Explanation:

To convert 6 4/11 to a decimal, we will use the division method for the fractional part. First, convert the mixed number to an improper fraction: \(6 \frac{4}{11} = \frac{70}{11}\). Then, divide 70 by 11. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (70) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: Divide 70 by 11. 11 goes into 70 six times (11 × 6 = 66). Write 6 in the quotient place.

Step 3: Subtract 66 from 70, which gives 4. Bring down a zero to make it 40.

Step 4: Divide 40 by 11. 11 goes into 40 three times (11 × 3 = 33). Write 3 in the quotient place.

Step 5: Subtract 33 from 40, which gives 7. Bring down another zero to make it 70.

Step 6: Repeat the division process. The recurring sequence "36" continues infinitely. This process is called a recurring decimal.

The answer for 6 4/11 as a decimal is 6.363636...

• 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 that repeats the same sequence of digits infinitely.