12.5: Multiply Mixed numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 \frac{1}{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, add the numerator, and place that over the original denominator. For example, 2 \frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{5}{2}.

Front

What is the first step in multiplying a mixed number by a whole number?

Back

The first step is to convert the mixed number into an improper fraction.

Front

How do you multiply a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, \frac{3}{4} \times 8 = \frac{3 \times 8}{4} = \frac{24}{4} = 6.

Front

What is the product of \frac{3}{4} and 8 \frac{1}{2}?

Back

First, convert 8 \frac{1}{2} to an improper fraction: 8 \frac{1}{2} = \frac{17}{2}. Then multiply: \frac{3}{4} \times \frac{17}{2} = \frac{51}{8} = 6 \frac{3}{8}.

Front

What is the importance of finding a common denominator when adding or subtracting fractions?

Back

Finding a common denominator allows you to combine fractions accurately by ensuring they are expressed in terms of the same whole.

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

How do you convert an improper fraction back 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 new numerator over the original denominator.

Front

What is the formula for multiplying two fractions?

Back

The formula for multiplying two fractions is: \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}.

Front

What is the result of multiplying two mixed numbers?

Back

To multiply two mixed numbers, convert both to improper fractions, multiply them, and then simplify if necessary.