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 a whole. It has two parts: numerator (number on the top) here, 7 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 fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
7/13 in decimals can be written as approximately 0.53846. It is a non-recurring decimal.
To get 7/13 in decimal, we will use the division method. Here, as 7 is smaller than 13, we will take help of the decimal method.
Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (13) will be taken as the divisor.
Step 2: As 7 is smaller than 13, it can't be divided, so we will use decimals. We add 0 to the dividend, which will make 7 as 70 and add a decimal point in the quotient place.
Step 3: Now that it is 70, we can divide it by 13. Let's see how many times 13 makes 70.
Step 4: 70 is not a multiple of 13, so we will look for the nearest number. 13 × 5 = 65.
Step 5: Write 5 in the quotient place and subtract 65 from 70, which gives 5.
Step 6: Bring down another 0 in the dividend place, making it 50, and then repeat the division process.
The division process continues, and we eventually get 7/13 as approximately 0.53846.