7 2/3 as a Decimal

Answer

7 2/3 in decimals can be written as 7.66666… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 7 2/3 in decimal, we first convert the fractional part 2/3 into decimal using the division method. Here, as 2 is smaller than 3, we will take the help of the 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 the numerator (2) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: As 2 is smaller than 3, it can't be divided. Here, we will take the help of ecimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.

Step 3: Now that it is 20, we can divide it by 3. Let's see how many times 3 makes into 20.

Step 4: 20 is not a multiple of 3, so we will look for the nearest number that is 3 × 6 = 18. We will write 6 in the quotient place and subtract 18 from 20, giving 2.

Step 5: Bring down another 0 in the dividend place and make 2 as 20, and 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.

Adding this fractional decimal to the whole number 7, we get 7.6666… as the decimal form of 7 2/3.

• 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.