Table Of Contents
Last updated on March 29th, 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 31, representing how many parts out of the whole, and the denominator (number below), here 125, showing how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.
31/125 in decimals can be written as 0.248. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To convert 31/125 to a decimal, we will use the division method. Here, as 31 is smaller than 125, we will use the decimal method to perform the division. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend and the denominator (125) will be taken as the divisor.
Step 2: As 31 is smaller than 125, it cannot be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, making it 310, and add a decimal point in the quotient place.
Step 3: Now that it is 310, we can divide it by 125. Let's see how many times 125 goes into 310.
Step 4: 125 goes into 310 two times (2 × 125 = 250). We will write 2 in the quotient place and subtract 250 from 310, which gives us 60.
Step 5: Bring down another 0 in the dividend place, making it 600, and then repeat the division process.
Step 6: 125 goes into 600 four times (4 × 125 = 500). Write 4 in the quotient place and subtract 500 from 600, which gives us 100.
Step 7: Bring down another 0 in the dividend place, making it 1000, and divide again.
Step 8: 125 goes into 1000 eight times (8 × 125 = 1000). Write 8 in the quotient place, and the remainder is 0.
The division process ends here, and the answer for 31/125 as a decimal is 0.248.