2 4/6 as a Decimal

Answer

2 4/6 in decimals can be written as 2.6666... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 2 4/6 in decimal, we will use division method. First, simplify the fraction 4/6 to 2/3. Then convert the mixed number to an improper fraction: (2×3+2)/3 = 8/3. Now, let's see the step-by-step breakdown of the process:

Step 1: Divide the numerator (8) by the denominator (3).

Step 2: 8 divided by 3 gives 2 with a remainder of 2.

Step 3: As 2 is less than 3, we will use the decimal method. Add a decimal to the quotient and continue the division.

Step 4: Bring down another 0 in the dividend place, making it 20.

Step 5: 20 divided by 3 gives 6, with a remainder of 2, and continue the division process. The division process continues as we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 2 4/6 as a decimal will be 2.6666...

• 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 digit or group of digits repeats infinitely.