11/4 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 from the whole. It has two parts, numerator (number on the top) here, 11 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the 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 that to the right represents the fractional part.

What is 11/4 as a decimal?

$11/4 as a decimal$ Answer

11/4 in decimals can be written as 2.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 11/4 in decimal, we will use the division method. Here, as 11 is larger than 4, we can directly divide. 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 (4) will be taken as the divisor.

Step 2: Divide 11 by 4. 4 goes into 11 two times (2 × 4 = 8).

Step 3: Subtract 8 from 11, which gives us 3. Step 4: Bring down a 0 to make it 30.

Step 5: Divide 30 by 4. 4 goes into 30 seven times (7 × 4 = 28).

Step 6: Subtract 28 from 30, which gives us 2.

Step 7: Bring down another 0 to make it 20.

Step 8: Divide 20 by 4. 4 goes into 20 five times (5 × 4 = 20).

Step 9: Subtract 20 from 20, which gives us 0. The division process ends here with no remainder, resulting in a terminating decimal.

The answer for 11/4 as a decimal will be 2.75.

Important Glossaries for 11/4 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.