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 from the whole. It has two parts: numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 26. 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 those to the right represent the fractional part.
1/26 in decimals can be written as 0.0384615. It is a recurring decimal, showing it will repeat a sequence of digits infinitely.
To get 1/26 in decimal, we will use the division method. Here, as 1 is smaller than 26, we will take help of the decimal method, which will give us 0.0384615. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because numerator (1) will be taken as dividend and denominator (26) will be taken as divisor.
Step 2: As 1 is smaller than 26, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10, and add a decimal point in the quotient place.
Step 3: Now that it is 10, we cannot divide it by 26. We will add another 0, making it 100.
Step 4: 100 is not a multiple of 26, so we will find the nearest number that is 26 × 3 = 78. We will write 3 in the quotient place and subtract 78 from 100, giving 22.
Step 5: Bring down another 0 in the dividend place, making 22 as 220, 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 1/26 as a decimal will be 0.0384615.