11 5/6 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, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. 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 5/6 as a decimal?

$11 5/6 as a decimal$

Answer

11 5/6 in decimal can be written as 11.83333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 11 5/6 in decimal, we will use the division method for the fractional part. Here, we convert 5/6 into a decimal first. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (5) will be taken as dividend and denominator (6) will be taken as divisor.

Step 2: As 5 is smaller than 6, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, making 5 into 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 6. Let's see how many times 6 fits into 50.

Step 4: 50 is not a multiple of 6, so we will look for the nearest number, which is 6 × 8 = 48. We will write 8 in the quotient place and subtract 48 from 50, leaving 2.

Step 5: Bring down another 0 in the dividend place to make it 20, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

Finally, add the whole number part to get 11.8333…

Important Glossaries for 11 5/6 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.
Recurring Decimal: A decimal number that has digits that repeat infinitely.