Multiplying Fractions, Mixed Numbers, and Whole Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 \frac{3}{5}.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 \frac{3}{5} becomes \frac{(2 \times 5) + 3}{5} = \frac{13}{5}.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \frac{22}{7}.

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the fraction. For example, \frac{22}{7} becomes 3 \frac{1}{7}.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

What is the product of two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, \frac{5}{8} \times \frac{4}{7} = \frac{20}{56}.

Front

How do you simplify the product of two fractions?

Back

After multiplying, simplify the resulting fraction by finding the greatest common factor of the numerator and denominator.

Front

What is the first step to multiply a whole number by a mixed number?

Back

Change the mixed number to an improper fraction before multiplying.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract fractions.

Front

How do you find a common denominator for \frac{1}{2} and \frac{1}{3}?

Back

The least common denominator (LCD) is 6, as it is the smallest multiple of both 2 and 3.