Last updated on May 26th, 2025
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, 5, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 13. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
5/13 in decimals can be written as approximately 0.384615. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.
To get 5/13 in decimal, we will use the division method. Here, as 5 is smaller than 13, we will take the help of the decimal method, which will give us 0.384615. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (13) will be taken as the divisor.
Step 2: As 5 is smaller than 13, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 5 as 50, and add a decimal point in the quotient place.
Step 3: Now that it is 50, we can divide it by 13. Let's see how many times 13 fits into 50.
Step 4: 50 is not a multiple of 13, so we will look for the nearest number that is 13 × 3 = 39. We will write 3 in the quotient place and subtract 39 from 50, which gives 11.
Step 5: Bring down another 0 in the dividend place, making 11 as 110, and then repeat the division process. The division process continues, and we do not get the remainder as 0. This process is called a recurring decimal.
The answer for 5/13 as a decimal will be approximately 0.384615...