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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 a 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 16. 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.
8/16 in decimals can be written as 0.5. It is a terminating decimal, meaning it does not repeat infinitely.
To get 8/16 in decimal, we will use the division method. Here, 8 is smaller than 16, so we will convert the fraction using division to get a decimal number. 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 (16) will be taken as the divisor.
Step 2: As 8 is smaller than 16, it cannot be divided directly. Here, we'll use decimals. We add a decimal point in the quotient place and consider 8 as 80.
Step 3: Now that it is 80, we can divide it by 16. Let's see how many times 16 fits into 80.
Step 4: 16 goes into 80 exactly 5 times, because 16 × 5 = 80.
Step 5: Subtract 80 from 80 to get a remainder of 0. Since the remainder is 0, the division ends here.
This process shows that 8/16 as a decimal will be 0.5.