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Last updated on March 27th, 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, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 600. 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.
1/600 in decimals can be written as 0.00166666….. It is a recurring decimal, showing it will repeat the same digit infinitely.
To get 1/600 in decimal, we will use the division method. Here as 1 is smaller than 600, we will take help of the decimal method which will give us 0.00166. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (600) will be taken as the divisor.
Step 2: As 1 is smaller than 600, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.
Step 3: Now that it is 10, we can divide it by 600. Let's see how many times 600 makes 10.
Step 4: 10 is not a multiple of 600, so we will bring down another 0, making it 100. This process continues with bringing down 0s and checking divisibility.
Step 5: Eventually, we will find that 600 goes into 1000 one time (1 × 600 = 600), leaving a remainder of 400.
Step 6: Bring down another 0, making it 4000, and continue dividing. This will yield 6 in the quotient place, and the division process continues, repeating the digits in the quotient. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.
The answer for 1/600 as a decimal will be 0.001666……