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 different denominators?

Back

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

Front

What does it mean for one fraction to be greater than another?

Back

A fraction is greater than another if its value is larger when both fractions are expressed in the same form.

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 of the fractions being compared.

Front

How can you convert a fraction to a decimal?

Back

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

Front

What is the relationship between 3/5 and 3/4?

Back

3/5 is less than 3/4 because when converted to decimal, 3/5 equals 0.6 and 3/4 equals 0.75.

Front

How do you determine if two fractions are equivalent?

Back

Two fractions are equivalent if they represent the same value, which can be checked by cross-multiplying.

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 simplify a fraction?

Back

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