4/3 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 of 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 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 4/3 as a decimal?

$4/3 as a decimal$ Answer

4/3 in decimals can be written as 1.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 4/3 in decimal, we will use division method. Here, as 4 is greater than 3, we can perform the division directly. 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 dividend and denominator (3) will be taken as divisor.

Step 2: As 4 is greater than 3, we divide 4 by 3 directly, which gives 1 as the integer part, and a remainder of 1.

Step 3: Bring down a 0 to make the remainder 10, and continue the division.

Step 4: 10 divided by 3 gives 3, with a remainder of 1. Write 3 in the quotient place after the decimal point.

Step 5: Bring down another 0 to make 10 again, and repeat the division process. The division process continues, and we don't get the remainder as 0, resulting in a recurring decimal.

The answer for 4/3 as a decimal will be 1.3333……

Important Glossaries for 4/3 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 the same digit or group of digits infinitely.