7 2/11 as a Decimal

Answer

7 2/11 in decimals can be written as 7.181818.... It is a recurring decimal, indicating that the digits will repeat infinitely.

Explanation

To convert 7 2/11 to a decimal, we first convert the fractional part 2/11 into a decimal. Let's break down the process step by step:

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: Divide 2 by 11. Since 2 is smaller than 11, we will add a decimal point in the quotient and treat it as 20.

Step 3: Now, divide 20 by 11. 11 goes into 20 one time, so write 1 in the quotient and subtract 11 from 20, which gives 9.

Step 4: Bring down another 0, making it 90. Divide 90 by 11, which gives 8, and subtract 88 (11 × 8) from 90, leaving 2.

Step 5: The remainder is 2, repeat the process, which means it will continue as 0.181818....

Step 6: Add this decimal result to the whole part (7), yielding 7.181818....

The answer for 7 2/11 as a decimal is 7.181818....

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number using 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, indicating how many parts make up a whole.
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.