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

How do you compare two fractions with the same denominator?

Back

To compare two fractions with the same denominator, you can simply compare their numerators. The fraction with the larger numerator is greater.

Front

How do you compare two fractions with different denominators?

Back

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

Front

What is a common denominator?

Back

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

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 (either as fractions with a common denominator or as decimals).

Front

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

Back

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

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 1/2 and 3/8?

Back

1/2 is greater than 3/8 because when converted to a common denominator, 1/2 equals 4/8.

Front

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

Back

3/4 is greater than 3/12 because when converted to a common denominator, 3/4 equals 9/12.

Front

How do you determine if two fractions are equivalent?

Back

Two fractions are equivalent if they represent the same value, which can be determined by cross-multiplying or simplifying both fractions.