117/200 as a Decimal

Answer

117/200 in decimals can be written as 0.585. It is a terminating decimal.

Explanation

To get 117/200 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (117) will be taken as the dividend and the denominator (200) will be taken as the divisor.

Step 2: As 117 is smaller than 200, it can't be divided directly; here we will take the help of decimals. We will add 0 to the dividend, which will make it 1170 and add a decimal point in the quotient place.

Step 3: Now that it is 1170, we can divide it by 200. Let's see how many times 200 fits into 1170.

Step 4: 200 × 5 = 1000, which is less than 1170, so we will write 5 in the quotient place and subtract 1000 from 1170 to get 170.

Step 5: Bring down another 0 to make it 1700, and then continue the division process.

Step 6: 200 × 8 = 1600, so we write 8 in the quotient place and subtract 1600 from 1700 to get 100.

Step 7: Bring down another 0 to make it 1000, then divide again.

Step 8: 200 × 5 = 1000, so we write 5 in the quotient place. The remainder is now 0, and the division process stops here.

The answer for 117/200 as a decimal is 0.585.

• 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.