2 4/9 as a Decimal

Answer

2 4/9 in decimals can be written as 2.4444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 2 4/9 in decimal, we will convert the fractional part using the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fraction part 4/9. 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; we will take the help of decimals. We will add 0 to the dividend, making it 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 will look for the nearest number, which is 9 × 4 = 36. We will write 4 in the quotient place and subtract 36 from 40, giving 4.

Step 5: Bring down another 0 in the dividend place, making it 40 again, and then repeat the division process. This process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 2 4/9 as a decimal will be 2.4444……

• Mixed Number: A number consisting of an integer and a fraction.
   
• 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.
   
• Recurring Decimal: A decimal number in which a digit or sequence of digits repeats infinitely.
   
• Division: The process of determining how many times one number is contained within another.