63/200 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top), here 63, which represents how many parts out of the whole are considered. The denominator (number below) shows how many parts make the whole, here it is 200. A decimal is a way to represent a number that is not whole, using a decimal point (.) 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.

What is 63/200 as a decimal?

$63/200 as a decimal$

Answer

63/200 in decimal form can be written as 0.315. This is a terminating decimal, meaning it ends after a certain number of decimal places.

Explanation

To convert 63/200 into a decimal, we will use the division method. Here, 63 is the numerator (dividend), and 200 is the denominator (divisor). Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (63) will be taken as the dividend and the denominator (200) as the divisor.

Step 2: Since 63 is smaller than 200, we will use the decimal method. We will add 0 to the dividend, making it 630, and add a decimal point in the quotient place.

Step 3: Now, we can divide 630 by 200. Let's see how many times 200 fits into 630.

Step 4: 200 goes into 630 three times because 3 × 200 = 600. We write 3 in the quotient place and subtract 600 from 630, giving us 30.

Step 5: Bring down another 0 in the dividend place, making it 300, and repeat the division process.

Step 6: 200 goes into 300 once because 1 × 200 = 200. We write 1 in the quotient place and subtract 200 from 300, giving us 100.

Step 7: Again, bring down another 0, making it 1000.

Step 8: 200 goes into 1000 five times because 5 × 200 = 1000, which leaves us with a remainder of 0.

The answer for 63/200 as a decimal is 0.315.

Important Glossaries for 63/200 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends after a finite number of digits and does not repeat infinitely.