8.66 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. Fractions are one of these types. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, decimals are expressed with a decimal point, such as 8.66. We are going to learn how to convert a decimal to a fraction.

What is 8.66 as a Fraction?

$8.66 as a fraction$

Answer

The answer for 8.66 as a fraction is 433/50.

Explanation

Converting a decimal to a fraction is a task that can be done easily by following these steps.

Step 1: First, convert the decimal number to a fraction for easy calculation. Here, 8.66 is the number on the numerator with 1 as the denominator. So, 8.66 becomes 8.66/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100 (because there are two decimal places). 8.66/1 × 100/100 = 866/100

Step 3: The GCD of 866 and 100 is 2. Now, to simplify the fraction, divide the numerator and denominator by 2. 866/100 = 433/50

Thus, 8.66 can be written as a fraction 433/50.

Important Glossaries for 8.66 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 both the numerator and the denominator by their greatest common divisor (GCD).