Comparing Fractions with Unlike Denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

What does it mean to compare fractions?

Back

Comparing fractions involves determining which fraction is larger, smaller, or if they are equal.

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, then compare the numerators.

Front

What is a common denominator?

Back

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

Front

How do you find a common denominator for 1/4 and 5/7?

Back

The least common multiple (LCM) of 4 and 7 is 28. Convert 1/4 to 7/28 and 5/7 to 20/28.

Front

What is the value of 3/6 in simplest form?

Back

3/6 simplifies to 1/2.

Front

If Ruth listened to 5/7 of her songs and Tess listened to 1/4, who listened to more?

Back

Ruth listened to more songs because 5/7 is greater than 1/4.

Front

How do you convert 1/4 to a fraction with a denominator of 28?

Back

Multiply the numerator and denominator by 7: 1/4 = 7/28.

Front

What is the relationship between 3/6 and 6/12?

Back

3/6 and 6/12 are equivalent fractions; both represent the same part of a whole.

Front

How do you determine which fraction is greater: 2/3 or 5/10?

Back

Convert 5/10 to 1/2. Since 2/3 is greater than 1/2, 2/3 is the larger fraction.