5 11/12 as a Decimal

Professor Greenline Explaining Math Concepts

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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: the numerator (number on top) here, 11, represents how many parts out of the whole, and the denominator (number below) shows how many parts make up the whole, here it is 12. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional 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 11/12 as a decimal?

$5 11/12 as a decimal$

Answer

5 11/12 in decimals can be written as 5.91666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 5 11/12 into a decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the mixed number, which consists of a whole number (5) and a fraction (11/12).

Step 2: Convert the fraction 11/12 into a decimal. Here, 11 is the numerator, and 12 is the denominator.

Step 3: Since 11 is smaller than 12, we will use the decimal method by adding a decimal point to the quotient and converting 11 into 110 by adding a zero.

Step 4: Divide 110 by 12. The nearest number to 110 that is a multiple of 12 is 108 (12 × 9).

Step 5: Write 9 in the quotient place and subtract 108 from 110, leaving a remainder of 2.

Step 6: Bring down another 0, making it 20. Divide 20 by 12, which gives 1 with a remainder.

Step 7: This process continues, and we get a recurring decimal for the fraction part, which is approximately 0.91666...

The complete decimal representation of 5 11/12 is 5.91666...

Important Glossaries for 5 11/12 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.
Mixed Number: A whole number combined with a fraction.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.
Division: A mathematical operation where a number is divided by another to find a quotient.