0.165 as a Fraction

Answer

The answer for 0.165 as a fraction will be 33/200.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.165 is the number in the numerator, and the base number 1 will be the denominator. Then, 0.165 becomes 0.165/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 0.165/1 × 1000/1000 = 165/1000

Step 3: Here, 5 is the GCD of 165 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 165/1000 = 33/200 Hence, 0.165 is in the form of the fraction 33/200.

Thus, 0.165 can be written as a fraction 33/200.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses 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.

• Greatest Common Divisor (GCD): The largest number that divides both the numerator and the denominator without leaving a remainder.