4 5/9 as a Decimal

Answer

4 5/9 in decimal form can be written as 4.5555….. It is a recurring decimal, indicating that the digit 5 will repeat infinitely.

Explanation

To convert 4 5/9 to a decimal, we will use the division method for the fractional part. The whole number part is 4. For the fractional part, 5/9, we need to divide 5 by 9. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (9) will be the divisor.

Step 2: As 5 is smaller than 9, we will use decimals. We add a 0 to the dividend, making it 50, and place a decimal point in the quotient.

Step 3: Now that it is 50, we can divide it by 9. Determine how many times 9 fits into 50.

Step 4: Since 50 is not a multiple of 9, find the nearest multiple, which is 9 × 5 = 45.

Step 5: Write 5 in the quotient place, subtract 45 from 50, giving 5.

Step 6: Bring down another 0, making it 50, and repeat the division process. The division process continues, and we do not get a remainder of 0; this process is called a recurring decimal.

The answer for 4 5/9 as a decimal is 4.5555……

• 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 a sequence of digits repeats infinitely.