179/200 as a Decimal

Answer

179/200 in decimals can be written as 0.895. It is a terminating decimal, indicating that it does not repeat infinitely.

Explanation

To convert 179/200 to decimal, we will use division. Here, 179 is smaller than 200, so we will use the decimal method to find the quotient. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (179) will be taken as the dividend, and the denominator (200) will be taken as the divisor.

Step 2: Since 179 is smaller than 200, we cannot divide directly. We will introduce a decimal point in the quotient and add zeros to the dividend to make it 1790.

Step 3: Now we can divide 1790 by 200.

Step 4: Determine how many times 200 fits into 1790. The closest multiple is 200 × 8 = 1600.

Step 5: Write 8 in the quotient place, subtract 1600 from 1790, which gives 190.

Step 6: Bring down another 0 to make 1900, and divide by 200 again.

Step 7: 200 × 9 = 1800

Step 8: Write 9 in the quotient place, subtract 1800 from 1900, leaving a remainder of 100.

Step 9: Bring down another 0 to make 1000, and divide by 200.

Step 10: 200 × 5 = 1000 Step 11: Write 5 in the quotient place, now the remainder is 0.

Thus, the answer for 179/200 as a decimal is 0.895.

• 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.