40/3 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

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, 40 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 40/3 as a decimal?

$40/3 as a decimal$

Answer

40/3 in decimals can be written as 13.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 40/3 in decimal, we will use the division method. Here, as 40 is larger than 3, we will proceed with the division which will give us 13.3333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (40) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide 40 by 3. 3 goes into 40, 13 times as 3 × 13 = 39. We will write 13 in the quotient place.

Step 3: Subtract 39 from 40, which gives 1.

Step 4: Bring down a 0 to make it 10, and continue the division process.

Step 5: 3 goes into 10, 3 times as 3 × 3 = 9. Write 3 in the quotient place and subtract 9 from 10 gives 1.

Step 6: Repeat the division process by bringing down another 0, making it 10 again. The process continues and does not terminate, hence it is a recurring decimal.

The answer for 40/3 as a decimal will be 13.3333……

Important Glossaries for 40/3 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 repeats a digit or a sequence of digits infinitely.