Comparing 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

How do you compare two fractions with the same denominator?

Back

To compare fractions with the same denominator, look at the numerators. The fraction with the larger numerator is the larger fraction.

Front

How do you compare two fractions with different denominators?

Back

To compare fractions with different denominators, convert them to equivalent fractions with a common denominator, then compare the numerators.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for easy comparison or addition.

Front

What is the process to find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators.

Front

What does it mean for fractions to be equivalent?

Back

Equivalent fractions are different fractions that represent the same value or proportion of a whole.

Front

How can you determine if two fractions are equivalent?

Back

Two fractions are equivalent if cross-multiplying gives the same product (a/b = c/d if a*d = b*c).

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and denominator by their greatest common factor (GCF).

Front

What is the relationship between improper fractions and mixed numbers?

Back

An improper fraction has a numerator larger than its denominator, while a mixed number combines a whole number and a proper fraction.