6.65 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of these categories and is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2 can be expressed as a decimal with a decimal point (.), like 0.5. Now, we are going to learn how to convert a decimal to a fraction, specifically for 6.65.

6.65 as a Fraction for US Students

What is 6.65 as a Fraction?

$6.65 as a fraction$

Answer

The answer for 6.65 as a fraction is 133/20.

Explanation

Converting a decimal to a fraction is a straightforward process. You can follow these steps to find the answer.

Step 1: First, any decimal number should be converted to a fraction for easy calculation. Here, 6.65 is the number with the numerator as 6.65 and the base number 1 as the denominator. It becomes 6.65/1.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 100 (because there are two decimal places). 6.65/1 × 100/100 = 665/100

Step 3: The GCD of 665 and 100 is 5. Now, to simplify the fraction, divide the numerator and denominator by 5. 665/100 = 133/20

Thus, 6.65 can be written as the fraction 133/20.

Important Glossaries for 6.65 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.

Simplifying: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor.