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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 (the number on the top), here 2, which represents how many parts out of the whole. The denominator (the 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 fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
2/8 in decimals can be written as 0.25. It is a terminating decimal, showing it ends without repeating.
To convert 2/8 into a decimal, we will use the division method. Here, since 2 is smaller than 8, we will use the decimal method, which will give us 0.25. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (8) will be taken as the divisor.
Step 2: As 2 is smaller than 8, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20, and add a decimal point in the quotient place.
Step 3: Now that it is 20, we can divide it by 8. Let's see how many times 8 fits into 20.
Step 4: The nearest number is 8 × 2 = 16. We will write 2 in the quotient place and subtract 16 from 20, which gives 4.
Step 5: Bring down another 0 in the dividend place to make it 40, and then repeat the division process.
Step 6: Now, divide 40 by 8, which gives 5 exactly. Place 5 in the quotient. The division process ends here as we get the remainder as 0. This process gives us a terminating decimal.
The answer for 2/8 as a decimal is 0.25.