Comparing Fractions with Unlike Denominators

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

What does it mean for fractions to have unlike denominators?

Back

Fractions have unlike denominators when the bottom numbers (denominators) are different, making it necessary to find a common denominator to compare or add them.

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 the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share, used to convert fractions to a common denominator.

Front

How do you find the least common denominator of 4 and 6?

Back

The least common denominator of 4 and 6 is 12, as it is the smallest multiple that both 4 and 6 can divide into evenly.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.

Front

How can you create an equivalent fraction?

Back

To create an equivalent fraction, multiply or divide both the numerator and denominator of a fraction by the same non-zero number.

Front

What is the process to compare 1/4 and 2/6?

Back

To compare 1/4 and 2/6, convert them to a common denominator (12), resulting in 3/12 and 4/12, then compare the numerators.

Front

What is the result of comparing 5/9 and 2/6?

Back

5/9 is greater than 2/6 when both fractions are converted to a common denominator.

Front

How do you determine who eats more between Isaiah (2/3) and Noah (4/10)?

Back

Convert both fractions to a common denominator (30), resulting in 20/30 for Isaiah and 12/30 for Noah; since 20/30 > 12/30, Isaiah eats more.