11/28 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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: numerator (number on the top), here 11, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 28. 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 11/28 as a decimal?

$11/28 as a decimal$

Answer

11/28 in decimals can be written as approximately 0.392857. This is a terminating decimal, as it ends after a certain number of digits.

Explanation

To convert 11/28 into a decimal, we will use the division method. Since 11 is smaller than 28, we will use the decimal method to find the value. 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 (28) as the divisor.

Step 2: Since 11 is smaller than 28, it can't be divided directly. We will take the help of decimals by adding 0 to the dividend, making 11 into 110, and placing a decimal point in the quotient place.

Step 3: Now, divide 110 by 28. Determine how many times 28 fits into 110.

Step 4: 28 × 3 = 84, which is the nearest multiple less than 110. Place 3 in the quotient and subtract 84 from 110, which gives 26.

Step 5: Bring down another 0, making it 260, and repeat the division process. Continue this process until the remainder becomes 0 or you reach the desired decimal places.

Important Glossaries for 11/28 as a decimal

Fraction: A numerical representation that indicates a part of a whole, comprising a numerator and a denominator.
Decimal: A numerical system using base ten in which a decimal point separates the whole part from the fractional part.
Numerator: The upper part of a fraction, indicating the number of parts considered from the whole.
Denominator: The lower part of a fraction, showing the total number of equal parts that constitute a whole.
Terminating Decimal: A decimal that ends after a finite number of digits and does not repeat indefinitely.