7 3/11 as a Decimal

Answer

7 3/11 in decimals can be written as 7.272727... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 7 3/11 into a decimal, we will use the division method for the fractional part and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. Here, 7 is the whole number, and 3/11 is the fraction.

Step 2: Convert the fraction 3/11 to a decimal. Divide 3 by 11.

Step 3: As 3 is smaller than 11, we will take the help of decimals. We will add 0 to the dividend, which makes 3 as 30 and add a decimal point in the quotient place.

Step 4: 30 divided by 11 goes 2 times (11 × 2 = 22). Subtract 22 from 30 gives 8.

Step 5: Bring down another 0, making it 80. 11 goes into 80 seven times (11 × 7 = 77). Subtract 77 from 80 gives 3.

Step 6: Repeat the process, bringing down 0s and performing the division. The division process continues, and we don't get a remainder as 0. This process is called a recurring decimal.

The answer for 7 3/11 as a decimal is 7.272727...

• 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.