11/24 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 from the whole. It has two parts: the numerator (the number on the top) here, 11, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 24. 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 11/24 as a decimal?

$11/24 as a decimal$ Answer

11/24 in decimals can be written as approximately 0.4583. It is a terminating decimal.

Explanation

To get 11/24 in decimal, we will use the division method. Here, as 11 is smaller than 24, we will take the help of the decimal method to get our answer. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend and the denominator (24) will be taken as the divisor.

Step 2: As 11 is smaller than 24, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 11 into 110 and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 24. Let's see how many times 24 makes 110.

Step 4: 110 is not a multiple of 24, so we will look for the nearest number. 24 × 4 = 96. We will write 4 in the quotient place and subtract 96 from 110, which gives 14.

Step 5: Bring down another 0 in the dividend place to make 14 into 140 and then repeat the division process. Continue the division process until the remainder is zero or until you reach a desired level of precision.

The answer for 11/24 as a decimal will be approximately 0.4583.

Important Glossaries for 11/24 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.