5/99 as a Decimal

Answer

5/99 in decimals can be written as 0.050505... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 5/99 in decimal, we will use the division method. Here as 5 is smaller than 99, we will take help of the decimal method which will give us 0.050505... Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (99) will be taken as the divisor.

Step 2: As 5 is smaller than 99, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, which will make 5 as 50 and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 99. As 50 is still too small, we add another 0 to make it 500.

Step 4: Divide 500 by 99. The closest multiple of 99 is 495 (99 × 5), so we write 5 in the quotient place and subtract 495 from 500 to get 5.

Step 5: Bring down another 0 in the dividend place to make it 50 again, and repeat the division process. The division process continues, repeating the sequence "05". This process is called a recurring decimal.

The answer for 5/99 as a decimal will be 0.050505...

• 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 fraction in which a figure or group of figures is repeated indefinitely.