Adding and Subtracting Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction \(\frac{3}{4}\), 3 is the numerator and 4 is the denominator.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, \(1\frac{1}{2}\) is a mixed number, which means 1 whole and 1/2.

Tags

CCSS.3.NF.A.3C

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, add the numerators and keep the denominator the same. For example, \(\frac{2}{5} + \frac{1}{5} = \frac{3}{5}\).

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, \(\frac{4}{7} - \frac{2}{7} = \frac{2}{7}\).

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

What do you do when adding fractions with different denominators?

Back

When adding fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add \(\frac{1}{4} + \frac{1}{6}\), the common denominator is 12: \(\frac{3}{12} + \frac{2}{12} = \frac{5}{12}\).

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the first step in subtracting mixed numbers?

Back

The first step in subtracting mixed numbers is to convert them into improper fractions. For example, to subtract \(2\frac{1}{3} - 1\frac{1}{2}\), convert them to \(\frac{7}{3} - \frac{3}{2}\).

Tags

CCSS.7.NS.A.1C

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 and add the numerator. For example, \(2\frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}\).

Front

What is the result of \(\frac{3}{12} + \frac{4}{12}\)?

Back

The result of \(\frac{3}{12} + \frac{4}{12}\) is \(\frac{7}{12}\).

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

What is the result of \(1\frac{1}{12} + \frac{4}{12}\)?

Back

The result of \(1\frac{1}{12} + \frac{4}{12}\) is \(5\frac{1}{12}\).

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

What fraction of students did NOT go on a field trip if \(\frac{3}{12}\) went?

Back

If \(\frac{3}{12}\) of the students went on a field trip, then \(\frac{9}{12}\) or \(\frac{3}{4}\) did NOT go.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B