3 8/9 as a Decimal

Answer

3 8/9 in decimals can be written as 3.88888….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 3 8/9 into decimal, we will use the division method for the fractional part. First, convert the mixed number into an improper fraction, which is 35/9. Now, divide 35 by 9. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (35) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 35 by 9. 9 goes into 35 three times (9 × 3 = 27), leaving a remainder of 8.

Step 3: As the remainder is 8, we bring down a 0 to make it 80. Add a decimal point to the quotient.

Step 4: 9 goes into 80 eight times (9 × 8 = 72), leaving a remainder of 8 again.

Step 5: Bring down another 0, making it 80 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.

The answer for 3 8/9 as a decimal will be 3.8888……

• 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 in which one or more digits repeat infinitely.