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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) and denominator (number below). Here, 17 is the numerator, representing how many parts out of the whole, and 2 is the denominator, showing how many parts make the whole. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point 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.
17/2 in decimals can be written as 8.5. It is a terminating decimal since the division comes to an end.
To convert 17/2 to decimal, we will use the division method. Here, 17 is larger than 2, so we can divide directly.
Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (2) will be taken as the divisor.
Step 2: Divide 17 by 2. 2 goes into 17 eight times since 2 × 8 = 16.
Step 3: Subtract 16 from 17, which gives a remainder of 1.
Step 4: As the remainder is not zero, add a decimal point in the quotient and bring down a 0, making it 10.
Step 5: Divide 10 by 2, giving 5, since 2 × 5 = 10, leaving a remainder of 0.
This process shows that 17/2 as a decimal is 8.5, which is a terminating decimal.