4/6 as a Decimal

Answer

4/6 in decimals can be written as approximately 0.66666…. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 4/6 in decimal, we will use the division method. Here as 4 is smaller than 6, we will take the help of decimal method which will give us 0.6666. 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 the dividend and denominator (6) will be taken as the divisor.

Step 2: As 4 is smaller than 6, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 6. Let's see how many times 6 makes 40.

Step 4: 40 is not a multiple of 6, so we will look for the nearest number that is 6 × 6 = 36. We will write 6 in the quotient place and subtract 36 from 40, which gives 4.

Step 5: Bring down another 0 in the dividend place and make 4 as 40, then 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 4/6 as a decimal will be approximately 0.6666……

• 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.