Comparing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you compare two fractions?

Back

To compare two fractions, you can find a common denominator, convert them to equivalent fractions, and then compare the numerators, or you can convert them to decimal form.

Front

What does it mean for two fractions to be equal?

Back

Two fractions are equal if they represent the same part of a whole, meaning their cross-products are equal (a/b = c/d if a*d = b*c).

Front

What is the process to convert a fraction to an equivalent fraction?

Back

To convert a fraction to an equivalent fraction, multiply or divide both the numerator and the denominator by the same non-zero integer.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions, used to compare or add fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, indicating a value less than one.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, indicating a value equal to or greater than one.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator over the original denominator.