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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, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 200. 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.
7/200 in decimals can be written as 0.035. It is a terminating decimal, showing it ends after a few digits.
To get 7/200 in decimal, we will use the division method. Here as 7 is smaller than 200, we will take help of the decimal method which will give us 0.035. Let's see the step-by-step breakdown of the process
Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (200) will be taken as the divisor.
Step 2: As 7 is smaller than 200, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 7 as 70, and add a decimal point in the quotient place.
Step 3: Now that it is 70, we can divide it by 200. Since 70 is still smaller than 200, we add another 0 to make it 700.
Step 4: 700 divided by 200 is 3 with a remainder of 100. We will write 3 in the quotient place.
Step 5: Bring down another 0 in the dividend place to make 1000, then repeat the division process.
Step 6: 1000 divided by 200 is 5 with no remainder, completing the division.
The answer for 7/200 as a decimal will be 0.035.