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Last updated on March 4th, 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, 17 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here, it is 5. 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.
17/5 in decimals can be written as 3.4. It is a terminating decimal, indicating it will not repeat and ends.
To convert 17/5 into a decimal, we will use the division method. Here, as 17 is larger than 5, we can directly divide the two numbers. Let's see the step-by-step breakdown of the process.
Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend, and the denominator (5) will be taken as the divisor.
Step 2: Divide 17 by 5. 5 goes into 17 three times because 5 × 3 = 15.
Step 3: Subtract 15 from 17, which leaves a remainder of 2.
Step 4: Since 2 is less than 5, we add a decimal point in the quotient and bring down a 0 to make it 20.
Step 5: Divide 20 by 5, which equals 4 because 5 × 4 = 20. This division process ends with no remainder, making it a terminating decimal.
The answer for 17/5 as a decimal is 3.4.