5 5/11 as a Decimal

Answer

5 5/11 in decimals can be written as 5.4545….. It is a recurring decimal, meaning it will repeat a sequence of digits infinitely.

Explanation

To get 5 5/11 in decimal, we will use the division method for the fractional part. The whole number 5 remains unchanged. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fractional part, 5/11, where the numerator (5) will be taken as the dividend and the denominator (11) will be the divisor.

Step 2: As 5 is smaller than 11, it can't be divided directly. Here, we will use decimals. We will add 0 to the dividend, making it 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 11. Let's see how many times 11 fits into 50.

Step 4: 50 is not a multiple of 11, so we will look for the nearest number. 11 × 4 = 44. We will write 4 in the quotient place and subtract 44 from 50, giving us 6.

Step 5: Bring down another 0 in the dividend place to make it 60, and then repeat the division process. The division process continues and we don't get the remainder as 0. This process results in a recurring decimal.

The answer for 5 5/11 as a decimal will be 5.4545……

• 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 indefinitely.