4/3 as a Decimal

Answer

4/3 in decimals can be written as 1.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 4/3 in decimal, we will use division method. Here, as 4 is greater than 3, we can perform the division directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (4) will be taken as dividend and denominator (3) will be taken as divisor.

Step 2: As 4 is greater than 3, we divide 4 by 3 directly, which gives 1 as the integer part, and a remainder of 1.

Step 3: Bring down a 0 to make the remainder 10, and continue the division.

Step 4: 10 divided by 3 gives 3, with a remainder of 1. Write 3 in the quotient place after the decimal point.

Step 5: Bring down another 0 to make 10 again, and repeat the division process. The division process continues, and we don't get the remainder as 0, resulting in a recurring decimal.

The answer for 4/3 as a decimal will be 1.3333……

• 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.