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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 of the whole. It has two parts: the numerator (number on the top) here, 3, 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.
3/13 in decimals can be written as approximately 0.230769. It is a repeating decimal, showing it will repeat the same sequence of digits infinitely.
To get 3/13 in decimal, we will use the division method. Here as 3 is smaller than 13, we will take help of the decimal method, which will give us approximately 0.230769. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (13) will be taken as the divisor.
Step 2: As 3 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 3 as 30, and add a decimal point in the quotient place.
Step 3: Now that it is 30, we can divide it by 13. Let's see how many times 13 fits into 30.
Step 4: 30 is not a multiple of 13, so we will look for the nearest number that is 13 × 2 = 26. We will write 2 in the quotient place and subtract 26 from 30, giving 4.
Step 5: Bring down another 0 in the dividend place, making 4 as 40, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a repeating decimal.
The answer for 3/13 as a decimal will be approximately 0.230769...