Multiplication and Division of Fractions

Front

What is the product of \( \frac{5}{12} \times \frac{8}{15} \)?

Back

\( \frac{2}{9} \) (Simplified from \( \frac{40}{180} \))

Front

What is \( 4 \div \frac{1}{5} \)?

Back

\( 20 \) (Dividing by a fraction is the same as multiplying by its reciprocal)

Front

What is the product of \( \frac{9}{24} \times \frac{1}{28} \)?

Back

\( \frac{9}{28} \) (Simplified from \( \frac{9}{672} \))

Front

If Josh has \( \frac{4}{5} \) of a liter of soda and pours it equally into 3 cups, how much soda does each cup get?

Back

\( \frac{4}{15} \) (Each friend gets \( \frac{4}{5} \div 3 \))

Front

How many burgers can Stewart make with 8 pounds of hamburger meat if each burger weighs \( \frac{2}{3} \) pounds?

Back

12 (\( 8 \div \frac{2}{3} = 12 \))

Front

What is the definition of a fraction?

Back

A fraction represents a part of a whole, expressed as \( \frac{a}{b} \) where \( a \) is the numerator and \( b \) is the denominator.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction \( \frac{a}{b} \) is \( \frac{b}{a} \).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together: \( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \).

Front

What is the rule for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor: \( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \).