121/200 as a Decimal

Answer

121/200 in decimals can be written as 0.605. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 121/200 into a decimal, we will use the division method. Since 121 is smaller than 200, the division will yield a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (121) will be taken as the dividend and the denominator (200) will be taken as the divisor.

Step 2: Divide 121 by 200. Since 121 is smaller than 200, the result will start with 0.

Step 3: Place a decimal point in the quotient and add a zero to the dividend, making it 1210. Now, divide 1210 by 200.

Step 4: 200 goes into 1210 exactly 6 times (200 × 6 = 1200). Write 6 in the quotient place. Subtract 1200 from 1210 to get a remainder of 10.

Step 5: Bring down another 0, making it 100. Divide 100 by 200, which goes 0 times.

Step 6: Bring down another 0, making it 1000. Divide 1000 by 200, which goes 5 times (200 × 5 = 1000). Write 5 in the quotient place. The division process ends here, as the remainder is 0.

Thus, the answer for 121/200 as a decimal is 0.605.

• 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. ---