6 5/9 as a Decimal

Answer

6 5/9 in decimals can be written as 6.5555…. It is a recurring decimal, indicating that the same sequence of digits will repeat infinitely.

Explanation

To convert 6 5/9 into a decimal, we will first convert the fractional part, 5/9, into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fractional part, 5/9, where 5 is the numerator and 9 is the denominator.

Step 2: Use the division method to divide 5 by 9. As 5 is smaller than 9, we use decimals, making it 50 by adding a decimal point and a zero.

Step 3: Divide 50 by 9. The nearest multiple of 9 is 9 × 5 = 45. Write 5 in the quotient place.

Step 4: Subtract 45 from 50, leaving a remainder of 5. Bring down another 0, making it 50, and repeat the division process.

Step 5: The division process continues, showing a repeating sequence. This process is called a recurring decimal.

The answer for 5/9 as a decimal will be 0.5555…,

• 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 sequence of digits infinitely.