Multiplying Mixed Numbers Worksheets
You will find the skill that we investigate here particularly helpful when you are working with recipes. When you are at department retail store sales you are going to wish you knew this skill well to. We previously explored the concept of values that are composed of a whole number and a fraction that are called mixed numbers. We now work on using the multiplication operation with these values. This requires that you think back to using the same operation with fractions. When we multiply fractions, we find the product of numerators and place them over the product of the denominators. We perform that same operation, but we first convert mixed number values to improper fractions. These worksheets and lessons will help you explore this operation and learn to master it quickly.
Aligned Standard: Grade 7 Number Systems - 7.NS.A.2a
- 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.
- Answer Keys - These are for all the unlocked materials above.
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
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 Likes Quiz 4 - A well spaced out offering for your students.
- Products of Unlikes Quiz 5 - Make the conversion first.
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. There is a third type of fraction that kids must understand that is known as a mixed number. These values consist of a whole number and a fraction. A mixed number looks like this: 1 ¼ .
When we need to multiply two mixed numbers together there is a simple strategy that you can do to get this right every time. Work through an example by finding the product of 1 ¾ and 2 ⅗ .Here are the steps that we need to take, in order:
Step 1: Convert Mixed Numbers into Improper Fractions - The first step to multiply mixed numbers is to convert all values into improper fractions. We do this by multiplying the whole number with the denominator. We take that value and add it to the numerator. The value of the improper fraction is that product over the starting denominator. Let's put into work on this problem:
a) Converting 1 ¾ to an improper fraction = whole number (1) times denominator (4) = 4. We take that value (4) and add it to our current numerator (3) = 7. Our improper fraction is therefore: 7/4.
b) Converting 2 ⅗ to an improper fraction = whole number (2) times denominator (5) = 10. We take that value (10) and add it to our current numerator (3) = 13. Our improper fraction is therefore: 13/5.
Step 2: Multiply - The next step is to multiply the numerators together (tops) and the denominators together (bottoms). It should appear like this (numerator 1 x numerator 2) / (denominator 1 x denominator 2).
Problem: 7/4 x 13/5. When we fit it into the proper format it comes out as: (7 x 13) / (4 x 5) = 91/20.
Step 3: Simplify - Simplify the resulting fraction where possible! We can convert this back to a mixed number. The denominator goes into the numerator 4 times with a remainder of 11. This means that 91/20 = 4 11/20.