2 7/9 as a Decimal

Answer

2 7/9 in decimals can be written as 2.77777… It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To convert 2 7/9 into a decimal, we will first convert the fractional part 7/9 into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (7) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: As 7 is smaller than 9, it can't be divided directly. We will use decimals by adding 0 to the dividend, making it 70, and adding a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 9. Let's see how many times 9 fits into 70.

Step 4: 9 goes into 70 seven times (9 × 7 = 63). Write 7 in the quotient place and subtract 63 from 70 to get 7.

Step 5: Bring down another 0 in the dividend place to make it 70 again and repeat the process. The division process continues, leading to a recurring decimal. The fraction 7/9 as a decimal is 0.7777….

Therefore, 2 7/9 as a decimal is 2.7777…

• 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 one or more digits repeat infinitely.