4 7/9 as a Decimal

Answer

4 7/9 in decimals can be written as 4.7777..... It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 4 7/9 in decimal, we will convert the fraction 7/9 to a decimal and then add it to the whole number 4.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. Here, the whole number is 4, and the fraction is 7/9.

Step 2: Convert 7/9 to a decimal by using the division method. As 7 is smaller than 9, we will use decimals to divide 7 by 9, which will give us 0.7777...

Step 3: Add the decimal result of the fraction 0.7777... to the whole number 4.

The resulting sum is 4.7777..., a recurring decimal.

• Mixed Number: A number consisting of an integer and a proper 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.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Division Method: A process used to convert a fraction into a decimal by dividing the numerator by the denominator.