2 2/3 as a Decimal

Answer

2 2/3 in decimals can be written as 2.66666... It is a recurring decimal, indicating that the digit 6 will repeat infinitely.

Explanation

To convert 2 2/3 into a decimal, we will first convert the fractional part 2/3 into a decimal.

Step 1: Identify the numerator (2) and denominator (3) because the numerator will be taken as the dividend and the denominator as the divisor.

Step 2: As 2 is smaller than 3, we will use decimals. We will add 0 to the dividend, making it 20, and add a decimal point in the quotient place.

Step 3: Now, we divide 20 by 3. Let's see how many times 3 goes into 20.

Step 4: 20 is not a multiple of 3, so we find the nearest number, which is 3 × 6 = 18. Write 6 in the quotient place and subtract 18 from 20, which gives 2.

Step 5: Bring down another 0 in the dividend place and make it 20 again, then repeat the division process. The division process continues, and we don't get a remainder of 0. This process results in a recurring decimal.

Finally, combine with the whole number: 2 + 0.6666... = 2.6666...

• Mixed Number: A number consisting of a whole number and a fraction. 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.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely. ```