Simplify Fractions

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

How do you find the greatest common divisor (GCD) of two numbers?

Back

The GCD of two numbers can be found by listing the factors of each number and identifying the largest factor they share, or by using the Euclidean algorithm.

Front

What is the simplest form of the fraction 12/16?

Back

The simplest form of 12/16 is 3/4.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.

Front

How can you create an equivalent fraction?

Back

You can create an equivalent fraction by multiplying or dividing both the numerator and denominator of a fraction by the same non-zero number.

Front

What is the simplest form of the fraction 8/24?

Back

The simplest form of 8/24 is 1/3.

Front

What is the process to simplify the fraction 30/45?

Back

To simplify 30/45, find the GCD (which is 15), then divide both the numerator and denominator by 15 to get 2/3.

Front

What is the simplest form of the fraction 25/100?

Back

The simplest form of 25/100 is 1/4.

Front

How do you determine if a fraction is already in simplest form?

Back

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

Front

What is the simplest form of the fraction 14/28?

Back

The simplest form of 14/28 is 1/2.