13/99 as a Decimal

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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: the numerator (number on the top) here, 13 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 13/99 as a decimal?

$13/99 as a decimal$ Answer

13/99 in decimals can be written as 0.131313. It is a recurring decimal, indicating it will repeat the same digit pattern infinitely.

Explanation

To get 13/99 in decimal, we will use the division method. Since 13 is smaller than 99, we will use the decimal method, which will give us 0.131313. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (99) will be taken as the divisor.

Step 2: As 13 is smaller than 99, it can't be divided directly. Here, we will take the help of decimals. Add 0 to the dividend, which will make 13 as 130, and add a decimal point in the quotient place.

Step 3: Now that it is 130, we can divide it by 99. Let's see how many times 99 fits into 130.

Step 4: 130 is not a multiple of 99, so we will look for the nearest number: 99 × 1 = 99. We write 1 in the quotient place and subtract 99 from 130, which gives 31.

Step 5: Bring down another 0 in the dividend place to make 31 as 310 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 13/99 as a decimal will be 0.131313.

Important Glossaries for 13/99 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 digit or group of digits infinitely.