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.

• 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.