Multiplying Fractions

Front

What is the product of two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, \( \frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d} \).

Front

How do you simplify a fraction?

Back

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

Front

What is the result of \( \frac{3}{4} \cdot \frac{2}{3} \)?

Back

The result is \( \frac{1}{2} \) or \( \frac{2}{4} \) after simplification.

Front

What is the result of \( \frac{7}{3} \cdot \frac{3}{2} \)?

Back

The result is \( \frac{7}{2} \).

Front

How do you multiply a whole number by a fraction?

Back

To multiply a whole number by a fraction, convert the whole number to a fraction (e.g., \( 12 = \frac{12}{1} \)) and then multiply as usual.

Front

What is the result of \( 12 \cdot \frac{2}{3} \)?

Back

The result is 8.

Front

What is the product of \( \frac{5}{4} \cdot \frac{1}{3} \)?

Back

The product is \( \frac{5}{12} \).

Front

What is the result of \( 60 \cdot \frac{3}{12} \)?

Back

The result is 15.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 \( \frac{1}{2} \).

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 numerator of the proper fraction.