Compare 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

What does it mean for two fractions to be equivalent?

Back

Two fractions are equivalent if they represent the same value or proportion, even if they have different numerators and denominators.

Front

How do you compare two fractions with different denominators?

Back

To compare fractions with different denominators, convert them to a common denominator or convert them to decimal form.

Front

What is the process to find a common denominator for two fractions?

Back

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

Front

What is the value of 1 in fraction form?

Back

The value of 1 can be expressed as any fraction where the numerator and denominator are the same, such as 5/5, 10/10, etc.

Front

How can you simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest positive integer that divides two or more integers without leaving a remainder.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator that is equal to or larger than its denominator.

Front

What is a mixed number?

Back

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