Multiplying Fractions

Multiplying Fractions

Here is where we will learn about how to properly solve multiplying fractions problem​s

​Let's review what PEMDAS is

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S​ - Subtraction

Each letter of PEMDAS actually stands for something...it's known as an acronym

​We will be seeing a lot of pemdas in this lesson. We will be focusing on multiplying, but we will see some PEMDAS problems to tie in our previous chapters.

Multiple Choice

To review what we know about PEMDAS:

What operation should I perform first in this equation?

2 + 3 • 2³

• Addition

• Multiplication

• Exponent

• All of the above

The first step in multiplying fractions is to put what you're going to be multiplying in the same spot

For example: numerators should be with numerators and denominators should be with denominators

Multiplying Fractions

The second step is to simplify any numbers that you can...but be careful and mindful that you CANNOT simplify any numbers that are on the same line!

Multiple Choice

When simplifying fractions the numbers should stay as _____ & numerator and denominator & _____

• Numerator and Numerator

• Denominator and Numerator

• Denominator and Numerator

• Numerator and Denominator

Let's do some practice problems in your notebooks:

Challenge yourself and solve this one:

Poll

What do you feel is the hardest part so far with multiplying fractions?

• Actually multiplying them

• Simplifying the numerator and denominator when necessary

• Everything about multuplying

• I'm okay with multiplying fractions

A mixed number is a whole number with a proper fraction.

What is a mixed number?

Let's add in some mixed numbers

How do we multiply mixed numbers?

You can only simplify the fractions if they make a fraction

For example, one number must come from the numerator and one must come from the denominator

Things to remember...

Make sure to make mixed numbers into improper fractions before multiplying

Multiply the denominator by the whole number. After you've multiplied those two, add the numerator

You CANNOT multiply mixed numbers like we can add them

You MUST turn the mixed number into a fraction, get an improper fraction answer, then turn it back into a

mixed number

Poll

What is the answer to this problem?

$$2\frac{2}{7}\ •\ 3\frac{4}{8}\ =\ ?$$

• 16

• $$6\frac{1}{7}$$

• 8

• $$6\frac{8}{56}$$