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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 of the whole. It has two parts: the numerator (number on the top) here, 5 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 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.
5/40 in decimals can be written as 0.125. It is a terminating decimal, indicating it does not repeat.
To get 5/40 in decimal, we will use the division method. Here, as 5 is smaller than 40, we will take the help of the decimal method, which will give us 0.125. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (40) will be taken as the divisor.
Step 2: As 5 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 5 as 50, and add a decimal point in the quotient place.
Step 3: Now that it is 50, we can divide it by 40. Let's see how many times 40 goes into 50.
Step 4: 50 is not a multiple of 40, so we will look for the nearest number that is 40 × 1 = 40. We will write 1 in the quotient place and subtract 40 from 50, which gives 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and then repeat the division process.
Step 6: 100 divided by 40 is 2, with a remainder of 20. Bring down another 0 to make it 200.
Step 7: 200 divided by 40 is 5, with no remainder. The division process ends here, giving a terminating decimal.
The answer for 5/40 as a decimal is 0.125.