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 (the number on the top) here, 1 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 24. 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.
1/24 in decimals can be written as 0.04166…. It is a recurring decimal, showing a pattern that repeats.
To get 1/24 in decimal, we will use the division method. Here, as 1 is smaller than 24, we will use the decimal method to obtain 0.04166. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (24) will be taken as the divisor.
Step 2: As 1 is smaller than 24, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make it 10, and add a decimal point in the quotient place.
Step 3: Now that it is 10, we can divide by 24. However, 10 is still smaller than 24, so we add another 0, making it 100.
Step 4: 100 is not a multiple of 24, so we will look for the nearest number. 24 × 4 = 96. We will write 4 in the quotient place and subtract 96 from 100 to get 4.
Step 5: Bring down another 0 in the dividend place, making it 40, and repeat the division process. The division process continues, resulting in a recurring decimal.
The answer for 1/24 as a decimal is approximately 0.04166….