4 4/9 as a Decimal

Answer:

4 4/9 in decimals can be written as 4.4444... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation:

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

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: Since 4 is smaller than 9, it can't be divided directly, so we use the decimal method by adding 0 to the dividend, making 4 as 40, and adding 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. 9 × 4 = 36. We write 4 in the quotient place, and subtract 36 from 40, which gives 4.

Step 5: Bring down another 0, making it 40 again, 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.

Thus, the fractional part 4/9 as a decimal is 0.4444... When combined with the whole number 4, the answer for 4 4/9 as a decimal will be 4.4444...

• 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.

• Mixed Number: A whole number combined with a fraction, such as 4 4/9.

• Recurring Decimal: A decimal in which a digit or group of digits repeats indefinitely.

• Dividend: A number to be divided by another number (the divisor) in the division process.