Adding and Subtracting Fractions and Mixed Numbers

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator. Convert each fraction to an equivalent fraction with the common denominator, then add the numerators and keep the common denominator.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Tags

CCSS.3.NF.A.3C

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 that result over the original denominator.

Front

What is the first step in subtracting fractions?

Back

The first step in subtracting fractions is to ensure that the fractions have a common denominator.

Tags

CCSS.7.NS.A.1C

Front

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers together, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

Tags

CCSS.7.NS.A.1C

Front

What is the least common multiple (LCM) and how is it used in adding fractions?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding fractions.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than its denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to its denominator (e.g., 5/4).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

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. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the importance of finding a common denominator when adding or subtracting fractions?

Back

Finding a common denominator is crucial because it allows fractions to be expressed in the same terms, making it possible to accurately add or subtract their values.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2