Concept Practice 5.3H

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 indicates how many parts are taken and the denominator indicates the total number of equal parts.

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 while keeping the common denominator.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator. If they do not, find a common denominator, convert the fractions, and then subtract the numerators while keeping the common denominator.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result 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 common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to perform addition or subtraction.

Front

How do you find the least common denominator (LCD)?

Back

To find the least common denominator, list the multiples of each denominator and identify the smallest multiple that appears in all lists.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator that is equal to or larger than its denominator.

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.