Table Of Contents
Last updated on March 3rd, 2025
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: the numerator (number on the top), here 2, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. A decimal is a way to represent a number that is not whole, using a decimal point 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.
2/5 in decimals can be written as 0.4. It is a terminating decimal, meaning it does not repeat and ends after a finite number of digits.
To get 2/5 in decimal, we will use the division method. Here as 2 is smaller than 5 we will take help of decimal method which will give us 0.4. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: As 2 is smaller than 5 it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.
Step 3: Now that it is 20 we can divide it by 5. Let's see how many times 5 makes 20.
Step 4: 20 is a multiple of 5, and 5 × 4 = 20. We will write 4 in the quotient place and subtract 20 from 20 to get 0.
Step 5: The remainder is 0, so the process stops here, indicating it is a terminating decimal.
The answer for 2/5 as a decimal will be 0.4.