77/200 as a Decimal

Answer

77/200 in decimals can be written as 0.385. It is a terminating decimal, showing that it has an end and does not repeat.

Explanation

To convert 77/200 into a decimal, we will use the division method. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator, where the numerator (77) will be taken as the dividend and the denominator (200) as the divisor.

Step 2: Perform the division. Since 77 is smaller than 200, we will use the decimal method to find the result. Divide 77 by 200.

Step 3: Add a decimal point in the quotient and a zero to the dividend, making it 770.

Step 4: Divide 770 by 200. The closest multiple of 200 to 770 is 200 × 3 = 600.

Step 5: Write 3 in the quotient place and subtract 600 from 770, leaving a remainder of 170.

Step 6: Bring down another 0, making it 1700, and divide by 200 again. The closest multiple is 200 × 8 = 1600.

Step 7: Write 8 in the quotient place and subtract 1600 from 1700, leaving a remainder of 100.

Step 8: Bring down another 0, making it 1000, and divide by 200. The quotient is 5, and the remainder is 0.

The answer for 77/200 as a decimal is 0.385.

• 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.