2 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 of the whole. It has two parts, numerator (number on the top), where 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 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 2 3/11 as a decimal?

$2 3/11 as a decimal$

Answer

2 3/11 in decimals can be written as 2.2727... It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 2 3/11 to a decimal, we will first convert the fraction part into a decimal. Let's see the step-by-step breakdown of the process.

Step 1: Identify the whole number and the fractional part. Here, 2 is the whole number, and 3/11 is the fractional part.

Step 2: Convert the fraction 3/11 into a decimal using the division method.

Step 3: The numerator (3) will be taken as the dividend, and the denominator (11) will be taken as the divisor.

Step 4: As 3 is smaller than 11, we will add 0 to the dividend, making it 30, and add a decimal point in the quotient place.

Step 5: Divide 30 by 11. The nearest number is 11 × 2 = 22, so we write 2 in the quotient place. Subtract 22 from 30 gives 8.

Step 6: Bring down another 0, making it 80. Divide 80 by 11. The nearest number is 11 × 7 = 77, so we write 7 in the quotient place. Subtract 77 from 80 gives 3.

Step 7: Repeat the division process. The decimal part is recurring, resulting in 0.2727...

Step 8: Combine the whole part 2 with the decimal 0.2727... to get the final answer: 2.2727...