Comparing Fractions with Unlike Denominators

Front

What is a fraction?

Back

Front

What does it mean to compare fractions?

Back

Comparing fractions involves determining which fraction is greater, less than, or equal to another fraction.

Front

How do you compare fractions with unlike denominators?

Back

To compare fractions with unlike denominators, convert them to equivalent fractions with a common denominator.

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions, allowing for easy comparison.

Front

How do you find a common denominator for 1/2 and 1/3?

Back

The least common denominator (LCD) of 1/2 and 1/3 is 6. Convert 1/2 to 3/6 and 1/3 to 2/6.

Front

What is the first step in comparing 3/4 and 5/8?

Back

Find a common denominator. The LCD of 4 and 8 is 8. Convert 3/4 to 6/8.

Front

If 2/5 and 1/2 are compared, which is greater?

Back

Convert 2/5 to 4/10 and 1/2 to 5/10. Since 4/10 < 5/10, 2/5 < 1/2.

Front

What does it mean if two fractions are equivalent?

Back

Two fractions are equivalent if they represent the same part of a whole, even if they have different numerators and denominators.

Front

How can you tell if 7/12 is greater than 1/6?

Back

Convert 1/6 to a fraction with a denominator of 12: 1/6 = 2/12. Since 7/12 > 2/12, 7/12 is greater.

Front

What is the relationship between 6/9 and 1/3?

Back

Convert 6/9 to 2/3. Since 2/3 > 1/3, 6/9 > 1/3.