1 4/9 as a Decimal

Answer

1 4/9 in decimals can be written as 1.44444….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1 4/9 in decimal, we will first convert the fractional part 4/9 using the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fraction part, which is 4/9. Here, 4 is the numerator and 9 is the denominator.

Step 2: Perform the division 4 ÷ 9. As 4 is smaller than 9, we will take the help of decimals, turning 4 into 40 with a decimal point in the quotient place.

Step 3: Now divide 40 by 9. We find that 9 goes into 40 four times (9 × 4 = 36).

Step 4: Subtract 36 from 40, which gives 4. Bring down another 0, making it 40, and repeat the division process.

Step 5: The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

The answer for 1 4/9 as a decimal will be 1.4444……

• 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.