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 equal?

Back

Two fractions are equal if they represent the same value or proportion of a whole, 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 which of two fractions is greater?

Back

You can determine which fraction is greater by cross-multiplying the numerators and denominators or by converting both fractions to a common denominator.

Front

What is the relationship between the fractions 9/12 and 3/4?

Back

The fractions 9/12 and 3/4 are equal because they simplify to the same value.

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 the numerator in a fraction?

Back

The numerator indicates how many parts of the whole are being considered.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates the total number of equal parts the whole is divided into.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.