9 2/9 as a Decimal

Answer

9 2/9 in decimals can be written as 9.2222. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 9 2/9 in decimal, we will convert the fractional part separately. The whole number 9 remains as it is. Let's focus on the fraction 2/9 using the division method.

Step 1 : Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2 : As 2 is smaller than 9, it can't be divided. Here we will take the help of decimals. We add a 0 to the dividend, making 2 become 20, and add a decimal point in the quotient place.

Step 3 : Now that it is 20, we can divide it by 9. Let's see how many times 9 makes 20.

Step 4 : 20 is not a multiple of 9, so we will look for the nearest number that is 9 × 2 = 18. We will write 2 in the quotient place and subtract 18 from 20, which gives 2.

Step 5 : Bring down another 0 in the dividend place, make 2 become 20 again, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 9 2/9 as a decimal will be 9.2222.

• 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 group of digits infinitely.