85/99 as a Decimal

Answer

85/99 in decimals can be written as 0.858585….. It is a recurring decimal, showing it will repeat the same digits infinitely.

Explanation

To get 85/99 in decimal, we will use the division method. Here, as 85 is smaller than 99, we will take the help of the decimal method, which will give us 0.858585... Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (85) will be taken as the dividend and the denominator (99) will be taken as the divisor.

Step 2: As 85 is smaller than 99, it can't be divided; here, we will take the help of decimals. We will add 0 to the dividend, which will make 85 as 850 and add a decimal point in the quotient place.

Step 3: Now that it is 850, we can divide it by 99. Let's see how many times 99 fits into 850.

Step 4: 99 × 8 = 792 is the nearest multiple. We will write 8 in the quotient place, and subtract 792 from 850 gives 58.

Step 5: Bring down another 0 in the dividend place, making it 580, 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.

The answer for 85/99 as a decimal will be 0.858585……

• 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 digits infinitely.