9 4/9 as a Decimal

Answer

9 4/9 in decimals can be written as 9.44444… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 9 4/9 to a decimal, we will first convert the fractional part 4/9 to a decimal using the division method.

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend, and the denominator (9) will be taken as the divisor.

Step 2: As 4 is smaller than 9, it can't be divided directly, so we will use decimals. We add 0 to the dividend, making 4 as 40 and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 9. Let's see how many times 9 fits into 40.

Step 4: 40 is not a multiple of 9, so we use the closest multiple, which is 9 × 4 = 36. We write 4 in the quotient place and subtract 36 from 40, giving us 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and 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 4/9 as a decimal will be 9.4444……

• 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.