Table Of Contents
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, 13 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 25. 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.
13/25 in decimal can be written as 0.52. It is a terminating decimal, meaning it does not repeat infinitely.
To convert 13/25 to a decimal, we use the division method. Since 13 is smaller than 25, we will use decimals to carry out the division precisely. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (13) will be taken as the dividend, and the denominator (25) will be taken as the divisor.
Step 2: As 13 is smaller than 25, it can't be divided without using decimals. Add a decimal point and a zero to the dividend, making it 130.
Step 3: Now, divide 130 by 25. Determine how many times 25 fits into 130.
Step 4: 25 fits into 130 approximately 5 times (25 × 5 = 125). Write 5 in the quotient place. Subtract 125 from 130, resulting in a remainder of 5.
Step 5: Bring down another 0, making it 50, and divide by 25 again.
Step 6: 25 fits into 50 exactly 2 times (25 × 2 = 50). Write 2 in the quotient place. Subtract 50 from 50, resulting in a remainder of 0. The division process ends here as we have a remainder of 0.
The answer for 13/25 as a decimal is 0.52.