5 3/11 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: numerator (number on the top), here 3, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. 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 those to the right represent the fractional part.

What is 5 3/11 as a decimal?

$5 3/11 as a decimal$

Answer

5 3/11 in decimals can be written as 5.2727….. It is a recurring decimal, indicating it will repeat the same sequence infinitely.

Explanation

To convert 5 3/11 into a decimal, we need to separate the whole number and the fractional part. First, convert the fraction 3/11 into a decimal using division. Then, combine this result with the whole number part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator of the fractional part, where the numerator (3) will be taken as the dividend and the denominator (11) as the divisor.

Step 2: Divide 3 by 11. Since 3 is smaller than 11, we will use the decimal method by adding a decimal point in the quotient and making the dividend 30.

Step 3: Divide 30 by 11, which gives approximately 2 as 11 * 2 = 22. Subtract 22 from 30, which leaves 8.

Step 4: Bring down another 0 in the dividend place to make 80 and continue the division process. Divide 80 by 11, which gives approximately 7 (11 * 7 = 77). Subtract 77 from 80, and you get 3.

Step 5: Repeat the process, bringing down zeros and continuing the division.The process will continue indefinitely, indicating a recurring decimal.

Thus, the fraction 3/11 as a decimal is 0.2727..., and combined with the whole number 5, the final answer is 5.2727...

Important Glossaries for 5 3/11 as a decimal

Mixed Number: A number consisting of an integer and a proper fraction.
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.
Recurring Decimal: A decimal fraction that repeats a sequence of digits infinitely.
Division Process: A mathematical operation of dividing a number, used to convert fractions to decimals.