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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: 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 50. 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.
17/50 in decimal can be written as 0.34. It is a terminating decimal, meaning it ends and does not repeat infinitely.
To get 17/50 in decimal, we will use the division method. Here, as 17 is smaller than 50, we will perform long division to find the decimal equivalent. 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 (50) will be taken as the divisor.
Step 2: Since 17 is smaller than 50, we will place a decimal point in the quotient and add a zero to 17, making it 170.
Step 3: Divide 170 by 50. Determine how many times 50 fits into 170, which is 3 times.
Step 4: Write 3 in the quotient and subtract 150 (3×50) from 170, leaving a remainder of 20.
Step 5: Bring down another 0 in the dividend place, making it 200, and divide by 50 again.
Step 6: 50 fits into 200 exactly 4 times, giving a remainder of 0. The process stops here as the remainder is 0.
Thus, the decimal representation of 17/50 is 0.34.