0.065 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. A fraction is one such type, always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals express the fractional part of numbers. For example, 1/2 in decimal is expressed with a decimal point (.), such as 0.065. We are going to learn how to convert a decimal to a fraction.

What is 0.065 as a Fraction?

$0.065 as a fraction$

Answer

The answer for 0.065 as a fraction is 13/200.

Explanation

Converting a decimal to a fraction can be done easily by following these steps:

Step 1: Firstly, convert the decimal number to a fraction. Here, 0.065 is the number as the numerator, and the base number 1 is the denominator. Thus, 0.065 becomes 0.065/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 1000 (since there are 3 decimal places). 0.065/1 × 1000/1000 = 65/1000

Step 3: Simplify the fraction by finding the GCD of 65 and 1000, which is 5. Divide both the numerator and denominator by 5: 65/1000 = 13/200

Thus, 0.065 can be written as a fraction 13/200.

Important Glossaries for 0.065 as a Fraction

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.
Simplification: The process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).