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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) here, 17 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 6. 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 that to the right represents the fractional part.
17/6 in decimals can be written as 2.8333… It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 17/6 in decimal, we will use the division method. 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 (6) will be taken as the divisor.
Step 2: Divide 17 by 6. The whole part of the division is 2 because 6 × 2 = 12, and 17 - 12 = 5.
Step 3: Since we have a remainder of 5, we continue the division by adding a decimal point and a zero to the remainder, making it 50.
Step 4: Now divide 50 by 6. The quotient is 8 because 6 × 8 = 48, and 50 - 48 = 2.
Step 5: Bring down another 0 in the dividend place, making it 20. Repeat the division process.
Step 6: Divide 20 by 6. The quotient is 3 because 6 × 3 = 18, and 20 - 18 = 2. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 17/6 as a decimal will be 2.8333...