7 8/9 as a Decimal

Answer

7 8/9 in decimals can be written as 7.8888….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 7 8/9 in decimal, we will convert the fraction part first. The whole number 7 remains as is. Now, let's convert 8/9 to decimal.

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: As 8 is smaller than 9, it can't be divided easily. We will use decimals by adding a 0 to the dividend, which makes it 80, and add a decimal point in the quotient.

Step 3: Now that it is 80, we can divide it by 9. Let's see how many times 9 makes 80.

Step 4: 80 is not a multiple of 9, so we look for the nearest number less than 80, which is 9 × 8 = 72. We subtract 72 from 80 to get 8.

Step 5: Bring down another 0 in the dividend place to make it 80, and then repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.

The answer for 7 8/9 as a decimal will be 7.8888……

• 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.