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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 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 40. 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 that to the right represents the fractional part.
1/40 in decimals can be written as 0.025. It is a terminating decimal, meaning it stops after a certain number of digits.
To get 1/40 in decimal, we will use division method. Here, as 1 is smaller than 40, we will take help of decimal method which will give us 0.025. 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 (40) will be taken as divisor.
Step 2: As 1 is smaller than 40, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.
Step 3: 10 is still smaller than 40, so we add another 0 to the dividend, now making it 100.
Step 4: Now, 100 can be divided by 40. Let's see how many times 40 fits into 100.
Step 5: 40 goes into 100 twice since 40 × 2 = 80. We write 2 in the quotient place and subtract 80 from 100, giving us 20.
Step 6: Bring down another 0 in the dividend place, making it 200.
Step 7: 40 goes into 200 five times since 40 × 5 = 200 exactly, and the remainder is 0.
The answer for 1/40 as a decimal will be 0.025.