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

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 two 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

How can you determine if a fraction is greater than or less than 1/2?

Back

A fraction is greater than 1/2 if its numerator is greater than half of its denominator; it is less than 1/2 if its numerator is less than half of its denominator.

Front

What is the relationship between the fractions 2/3 and 3/3?

Back

2/3 is less than 3/3, which is equal to 1. This means that 2/3 is a fraction that is less than a whole.

Front

How do 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 significance of shaded models in comparing fractions?

Back

Shaded models visually represent fractions, making it easier to compare their sizes and understand their relationships.

Front

How do you determine which of two fractions is greater when comparing them?

Back

To determine which fraction is greater, you can cross-multiply or convert both fractions to a common denominator.

Front

What is the value of 4/8 when simplified?

Back

4/8 simplifies to 1/2, as both the numerator and denominator can be divided by 4.