10 4/11 as a Decimal

Answer

10 4/11 in decimals can be written as 10.363636... It is a recurring decimal, indicating it will repeat the same sequence of digits infinitely.

Explanation

To convert 10 4/11 to a decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (10) and the fractional part (4/11).

Step 2: Convert the fractional part 4/11 to a decimal by dividing 4 by 11.

Step 3: 4 divided by 11 gives a recurring decimal 0.363636..., as 4 is smaller than 11 and will repeat this division process.

Step 4: Combine the whole number with the decimal of the fraction, so it becomes 10 + 0.363636... Step 5:

Therefore, 10 4/11 as a decimal is 10.363636..., a recurring decimal.

• 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 a sequence of digits repeats infinitely.