## Products of Mixed Numbers

#### Aligned To Common Core Standard:

**Grade 7 Number Systems** - 7.NS.A.2a

How to find the Product of Mixed Numbers?
Finding the products of proper and improper fractions is easy. All you have to do is multiply all the numerators together and multiply all the denominators together. The resulting fraction is the answer.
The third type of fraction that kids have to understand is the mixed fractions, also known as mixed numbers. These mixed numbers consist of a whole number and a fraction.
Example:
A mixed number looks like this;
1 1/2=Quotient Remainder/Dividend
Multiplying two mixed numbers is not that difficult if you follow this step-by-step guide.
**Step 1: Convert Mixed Number into Improper Fraction** -
The first step to multiply mixed numbers is to convert it into an improper fraction.
Example:
1 1/2=((1×2)+1)/2=3/2
**Step 2: Multiply** - The next step is to multiply the numerators and multiply the denominators
**Step 3: Simplify** - Simplify the resulting fraction where possible!
Example
Multiply 1 3/4 and 2 3/5
((1×4)+3)/4×((2×5)+3)/5
7/4×13/5
(7×13)/(4×5)=91/20

### Printable Worksheets And Lessons

- Mixed Number Multiplication
Step-by-step Lesson- You don't only multiply, you also determine
the multiplicative inverse.

- Guided Lesson
- A re-do of the lesson and we add whole numbers multiplied by top
heavy fractions.

- Guided Lesson
Explanation - We first give everyone the same denominator and
then we go from there.

- Practice Worksheet
- A nice power pack of all the major skills the Core calls on for
this standard.

- Two-Step Like Denominators
Practice - This requires two steps. First transition from mixed
numbers to top heavy fractions.

- Multiplying Mixed Numbers
Five Worksheet Pack - The mixed numbers are unlike at the denominator
positions, but the numbers are easy enough to work with.

- Matching Worksheet - This is one of the first match sheets where you absolutely need to work out every problem to make sure you got them all right.

#### Homework Sheets

I like to seesaw between mixed numbers and whole numbers, it helps them.

- Homework 1 - Multiply. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
- Homework 2 - To multiply two fractions, multiply the numerators and multiply the denominators.
- Homework 3 - positive × negative = negative

#### Practice Worksheets

Multiplicative inverses also known as reciprocals start to appear now.

- Practice 1 - What is the multiplicative inverse of these values?
- Practice 2 - Multiply. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
- Practice 3 - Write mixed numbers as improper fractions.

#### Math Skill Quizzes

Mostly top heavy products is what we are looking for here.

- Quiz 1 - Multiply the fractions.
- Quiz 2 - Cross multiplication is the one.
- Quiz 3 - Red tape is a bit of a problem here.
- Products of Like Mixed Numbers Quiz 4 - A well spaced out offering for your students.
- Products of Unlike Mixed Numbers Quiz 5 - Make the conversion first.