7 6/11 as a Decimal

Answer

7 6/11 in decimals can be written as approximately 7.54545454..... It is a recurring decimal, showing that the digits after the decimal point repeat indefinitely.

Explanation

To convert 7 6/11 to a decimal, we will use the division method for the fractional part. The whole number 7 remains unchanged. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fractional part, which is 6/11.

Step 2: Divide the numerator (6) by the denominator (11) using long division.

Step 3: As 6 is smaller than 11, we will take the help of decimals. We will add 0 to the dividend, making 6 into 60 and add a decimal point in the quotient place.

Step 4: Now that it is 60, we divide it by 11. 11 goes into 60 five times because 11 × 5 = 55.

Step 5: Subtract 55 from 60, leaving a remainder of 5. Bring down another 0 to make it 50.

Step 6: 11 goes into 50 four times because 11 × 4 = 44. Subtract 44 from 50, leaving a remainder of 6.

Step 7: Bring down another 0 to make it 60 and repeat the division process. This process continues, and we see the digits 54 repeat indefinitely.

The decimal representation of 7 6/11 is approximately 7.54545454.....

• 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 digit or sequence of digits indefinitely.