multiplying mixed numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 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 sum over the original denominator.

Front

What is the process for multiplying mixed numbers?

Back

1. Convert each mixed number to an improper fraction. 2. Multiply the numerators together. 3. Multiply the denominators together. 4. Simplify the resulting fraction if possible.

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 greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

How do you find the GCD of two numbers?

Back

To find the GCD of two numbers, list the factors of each number and identify the largest factor they have in common.

Front

What is the importance of simplifying fractions in multiplication?

Back

Simplifying fractions can make calculations easier and help to present the final answer in its simplest form.

Front

How do you handle mixed numbers in word problems?

Back

Identify the mixed numbers, convert them to improper fractions if necessary, and follow the multiplication process.

Front

What is the result of multiplying 2 2/3 by 1/2?

Back

The result is 1 1/3.

Front

If Sara has 2 1/2 times the amount of paint that Samantha has, how do you calculate Sara's amount?

Back

Multiply Samantha's amount (4 1/2) by 2 1/2, converting both to improper fractions first.