Simplifying 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 simplify the fraction 9/6?

Back

Divide both the numerator and denominator by their greatest common factor, which is 3. Thus, 9/6 simplifies to 3/2.

Front

What is the greatest common factor (GCF) of two numbers?

Back

The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder.

Front

What is the GCF of 28 and 49?

Back

The GCF of 28 and 49 is 7.

Front

How do you simplify the fraction 80/70?

Back

Divide both the numerator and denominator by their GCF, which is 10. Thus, 80/70 simplifies to 8/7.

Front

What is the simplified form of the fraction 6/12?

Back

The simplified form of 6/12 is 1/2, as both the numerator and denominator can be divided by 6.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator to get the whole number, and the remainder becomes the numerator of the proper fraction.