Multiplying and Dividing Fractions and Mixed Numbers Classwork

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction \( \frac{1}{2} \), 1 is the numerator and 2 is the denominator.

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, \( \frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8} \).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, \( 2 \frac{1}{3} \) is a mixed number, where 2 is the whole number and \( \frac{1}{3} \) is the fraction.

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 process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, \( \frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3} \).

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, \( \frac{4}{8} \) can be simplified to \( \frac{1}{2} \).

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). For example, to simplify \( \frac{6}{9} \), divide both by 3 to get \( \frac{2}{3} \).

Front

What is the result of \( \frac{1}{3} \times \frac{2}{5} \)?

Back

The result is \( \frac{2}{15} \).

Front

What is the result of \( \frac{5}{6} \div \frac{2}{4} \)?

Back

The result is \( 1 \frac{2}{3} \).

Front

What is the result of \( \frac{1}{8} \times \frac{3}{4} \)?

Back

The result is \( \frac{3}{32} \).