Partitioning Fractions (3.3E)

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

What does it mean to partition a fraction?

Back

Partitioning a fraction involves dividing it into smaller, equal parts, which helps in understanding the fraction's value and its relation to other fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add 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 simplify the addition or subtraction of fractions.

Front

How can you compare two fractions?

Back

To compare two fractions, convert them to have a common denominator or convert them to decimal form, then compare the numerators or decimal values.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators while keeping the denominator the same.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, representing a value greater than one.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator over the original denominator.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division, where the numerator is divided by the denominator.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, indicating a value less than one.