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Last updated on March 21st, 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, 8 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 those to the right represent the fractional part.
8/40 in decimals can be written as 0.2. It is a terminating decimal, meaning it doesn't repeat infinitely.
To convert 8/40 into a decimal, we will use the division method. Since 8 is smaller than 40, we will take the help of the decimal method, which will give us 0.2. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (40) will be taken as the divisor.
Step 2: As 8 is smaller than 40, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, which will make 8 as 80 and add a decimal point in the quotient place.
Step 3: Now that it is 80, we can divide it by 40. Let's see how many times 40 makes 80.
Step 4: 80 is exactly a multiple of 40, so we will divide it directly. 40 × 2 = 80. We will write 2 in the quotient place, and since 80 - 80 = 0, the remainder is 0. The process stops here as we have a terminating decimal.
The answer for 8/40 as a decimal will be 0.2.