7 8/11 as a Decimal

Answer

7 8/11 in decimals can be written as 7.7272… It is a recurring decimal, indicating the fractional part will repeat the same sequence of digits infinitely.

Explanation

To convert 7 8/11 into a decimal, first convert the fractional part 8/11 into a decimal. We will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend, and the denominator (11) will be taken as the divisor.

Step 2: As 8 is smaller than 11, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, making 8 into 80, and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 11. Let's see how many times 11 fits into 80.

Step 4: 7 is the closest whole number, as 7 × 11 = 77. We place 7 in the quotient and subtract 77 from 80, leaving a remainder of 3.

Step 5: Bring down another 0 in the dividend place, making it 30, and repeat the division process.

Step 6: Again, 2 fits because 2 × 11 = 22. Subtract 22 from 30 to get a remainder of 8. Repeat: Bring down another 0, and the pattern continues as 72, creating a recurring sequence. Adding this to the whole part, we get 7.7272...

The answer for 7 8/11 as a decimal will be 7.7272…

• Mixed Number: A whole number combined with a fraction, such as 7 8/11, which includes both an integer and a fractional part.

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

• 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.

• Division Method: A method used to convert fractions to decimals by dividing the numerator by the denominator.