Table Of Contents
Last updated on March 15th, 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 25, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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.
25/8 in decimals can be written as 3.125. It is a terminating decimal, meaning it does not repeat infinitely.
To get 25/8 in decimal, we will use the division method. Here, 25 is larger than 8, so we can directly divide. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: Divide 25 by 8. 8 goes into 25 three times (8 × 3 = 24), so we write 3 in the quotient place.
Step 3: Subtract 24 from 25, which gives us 1.
Step 4: Bring down a 0 to make it 10, and add a decimal point in the quotient.
Step 5: 8 goes into 10 once (8 × 1 = 8). Write 1 in the quotient after the decimal point.
Step 6: Subtract 8 from 10, giving us 2. Bring down another 0 to make it 20.
Step 7: 8 goes into 20 twice (8 × 2 = 16). Write 2 in the quotient.
Step 8: Subtract 16 from 20, giving us 4. Bring down another 0 to make it 40.
Step 9: 8 goes into 40 five times (8 × 5 = 40). Write 5 in the quotient. There is no remainder left, so the division process ends here.
The answer for 25/8 as a decimal will be 3.125.