4/52 as a decimal

Professor Greenline Explaining Math Concepts

Foundation

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, 4 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 52. 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 4/52 as a decimal?

$4/52 as a decimal$

Answer

4/52 in decimals can be written as 0.076923076923... It is a repeating decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 4/52 in decimal, we will use the division method. Here, as 4 is smaller than 52, we will take help of the decimal method which will give us 0.076923076923...

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (4) will be taken as the dividend and denominator (52) will be taken as the divisor.

Step 2: As 4 is smaller than 52, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

Step 3: Now, divide 40 by 52. Since 40 is smaller than 52, bring down another 0 to make it 400.

Step 4: 400 divided by 52 is approximately 7, so we write 7 in the quotient and subtract 364 from 400, which gives 36.

Step 5: Bring down another 0, making it 360, and continue the division process. The division process continues, and the sequence of digits 076923 repeats infinitely. This process is called a repeating decimal.

The answer for 4/52 as a decimal will be 0.076923076923...

Important Glossaries for 4/52 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.
Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.