13/22 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: 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 22. 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 13/22 as a decimal?

$13/22 as a decimal$

Answer

13/22 in decimals can be written as approximately 0.5909. It is a repeating decimal, showing it will repeat the same sequence infinitely.

Explanation

To convert 13/22 to a decimal, we will use the division method. Here, as 13 is smaller than 22, we will use the decimal method. 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 (22) will be taken as the divisor.

Step 2: Since 13 is smaller than 22, it can't be divided directly. We will add a decimal point and 0 to the dividend, making it 130.

Step 3: Now, we divide 130 by 22. The closest multiple of 22 to 130 is 22 × 5 = 110.

Step 4: Write 5 in the quotient place. Subtract 110 from 130 to get 20.

Step 5: Bring down another 0, making it 200, and repeat the division process. The closest multiple of 22 to 200 is 22 × 9 = 198.

Step 6: Write 9 in the quotient place. Subtract 198 from 200 to get 2, and bring down another 0.

Step 7: Repeat the division process. This process will continue as a repeating decimal.

The answer for 13/22 as a decimal is approximately 0.590909....

Important Glossaries for 13/22 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.
Repeating Decimal: A decimal that has digits that repeat infinitely after a certain point.