37/200 as a Decimal

Answer

37/200 in decimals can be written as 0.185. It is a terminating decimal, meaning it doesn't repeat or continue infinitely.

Explanation

To convert 37/200 into a decimal, we will use the division method. Here, as 37 is smaller than 200, we will take the help of the decimal method to get our result. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (37) will be taken as the dividend, and the denominator (200) will be taken as the divisor.

Step 2: As 37 is smaller than 200, it can't be divided directly. We add a decimal point to the quotient and a 0 to the dividend to make it 370.

Step 3: Now, we divide 370 by 200. 200 goes into 370 once (1 × 200 = 200). We write 1 in the quotient and subtract 200 from 370, which gives us 170.

Step 4: Bring down another 0 to make it 1700 and continue the division. 200 goes into 1700 eight times (8 × 200 = 1600). Write 8 in the quotient and subtract 1600 from 1700, which gives 100.

Step 5: Bring down another 0, making it 1000. 200 goes into 1000 five times (5 × 200 = 1000). Write 5 in the quotient, and subtract 1000 from 1000 gives 0. The division process ends here as the remainder is 0.

Thus, the answer for 37/200 as a decimal is 0.185.

• 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 and does not repeat infinitely.