2 2/9 as a Decimal

Answer

2 2/9 in decimal form can be written as 2.2222. It is a recurring decimal, showing it will repeat the digit '2' infinitely.

Explanation

To convert 2 2/9 to a decimal, we will use the division method for the fractional part while keeping the whole number part intact. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (2) and the fraction (2/9).

Step 2: Convert the fraction 2/9 to a decimal by division. As 2 is smaller than 9, we include a decimal point and write 0 in the quotient initially.

Step 3: Add a 0 to the dividend to make it 20, then divide 20 by 9.

Step 4: 9 goes into 20 two times (9 x 2 = 18). Subtract 18 from 20 to get a remainder of 2.

Step 5: Bring down another 0, making it 20 again, and repeat the division. This process reveals that 2/9 as a decimal is 0.2222.

Therefore, 2 2/9 as a decimal is 2.2222.

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Recurring Decimal: A decimal fraction that has digits that repeat infinitely.
   
• 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.
   
• Dividend: The number being divided in a division operation.