Ch. 3.7 Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

How do you find the GCD of two numbers?

Back

To find the GCD of two numbers, list the factors of each number and identify the largest factor they have in common.

Front

What is the GCD of 8 and 12?

Back

The GCD of 8 and 12 is 4.

Front

What is the GCD of 15 and 25?

Back

The GCD of 15 and 25 is 5.

Front

What is the process for simplifying the fraction 6/8?

Back

To simplify 6/8, divide both the numerator and denominator by their GCD, which is 2, resulting in 3/4.

Front

What is the simplified form of the fraction 10/15?

Back

The simplified form of 10/15 is 2/3.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division, where the numerator is divided by the denominator.

Front

How can you check if a fraction is in its simplest form?

Back

A fraction is in its simplest form if the GCD of the numerator and denominator is 1.