Table Of Contents
116 LearnersLast updated on March 4th, 2025
11/3 as a Decimal
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 3. 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 11/3 as a decimal?
Answer
11/3 in decimals can be written as 3.66666…. It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To get 11/3 in decimal, we will use the division method. Since 11 is larger than 3, we will proceed with the division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (11) will be taken as dividend and denominator (3) will be taken as divisor.
Step 2: Divide 11 by 3. 3 goes into 11 three times because 3 × 3 = 9.
Step 3: Subtract 9 from 11. The remainder is 2.
Step 4: Bring down a 0 to make it 20.
Step 5: Divide 20 by 3. 3 goes into 20 six times because 3 × 6 = 18.
Step 6: Subtract 18 from 20. The remainder is 2.
Step 7: Repeat the process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 11/3 as a decimal will be 3.6666……
Important Glossaries for 11/3 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 in which one or more digits repeat infinitely.
Explore More math-questions
Previous to 11/3 as a Decimal
