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.

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.

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, \(\frac{2}{5} + \frac{1}{5} = \frac{3}{5}\).

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, \(\frac{4}{7} - \frac{2}{7} = \frac{2}{7}\).

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: \(\frac{3}{12} + \frac{2}{12} = \frac{5}{12}\).

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 \(\frac{7}{3} - \frac{3}{2}\).

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 \(\frac{7}{12}\).

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 \(5\frac{1}{12}\).

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.