Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

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. The quotient is the whole number, and the remainder over the denominator is the proper fraction.

Front

What is the first step in simplifying a fraction?

Back

Find the greatest common factor (GCF) of the numerator and denominator.

Front

How do you simplify the fraction 6/4?

Back

Divide both the numerator and denominator by their GCF, which is 2. So, 6/4 simplifies to 3/2.

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

Convert the mixed number 1 5/7 to an improper fraction.

Back

Multiply the whole number (1) by the denominator (7) and add the numerator (5). So, 1 5/7 = (1*7 + 5)/7 = 12/7.

Front

What is the simplified form of 12/24?

Back

The simplified form of 12/24 is 1/2.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the denominator.