85/99 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 85 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 99. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 85/99 as a decimal?

$85/99 as a decimal$

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……

Important Glossaries for 85/99 as a decimal

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.