41/3 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 the top) here, 41 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 those to the right represent the fractional part.

What is 41/3 as a decimal?

$41/3 as a decimal$

Answer

41/3 in decimals can be written as 13.6666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 41/3 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (41) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 41 by 3. The whole number part of the quotient will be 13.

Step 3: Calculate the remainder. When 41 is divided by 3, the remainder is 2.

Step 4: Bring down a 0 to make it 20 and continue the division: 3 goes into 20 six times (6×3 = 18), leaving a remainder of 2.

Step 5: Repeat the process, bringing down 0s and finding that 3 goes into 20 six times every time. The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The answer for 41/3 as a decimal will be 13.6666……

Important Glossaries for 41/3 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 that has one or more repeating digits after the decimal point that continue infinitely.