Multiplying Fractions

Multiplying Fractions

Whole number x Fraction

• 3/4

  These are important terms to remember because you will hear them a lot when multiplying and dividing fractions.

​Step 1: Make sure you have 2 sets of fractions.

Step 2: Multiply the numerator

Step 3: Multiply the denominator

Step 4: Reduce if possible​

How to multiply fractions:

​To Multiply Fractions - you do not need common denominators!!

​

• Make sure you have two fractions

• If you have a whole number, make it a fraction by putting it over 1

• If you have a mixed number, convert it to an improper fraction

Example:

​There are many ways to reduce fractions....

​

​

• reduce at the end by dividing numerator and denominator by the same number

• reduce on the angles

• convert improper to mixed numbers

​

​5/25 reduced is...

divide top and bottom by 5, and you get 1/5

Multiple Choice

What is the fraction 2/4 in simplest form?

• It already is

• 1/2

• 2

• 1/3

Convert Improper to Mixed

24/5 = 5 goes into 24 how many times...5 times with 4/5 left over 5 4/5

​Step 1: Make sure you have 2 sets of fractions.

Step 2: Multiply the numerator

Step 3: Multiply the denominator

Step 4: Reduce if possible​

Remember.....

How to multiply fractions:

Multiple Choice

The first step of multiplying fractions is to....

• make sure you have 2 sets of fractions

• make sure there is 3 different numbers

• find a common denominator

• reduce and divide

Multiple Choice

The second step is multiply the _______ numbers (the numerators)

• Top

• Bottom

• Side

• Side

Multiple Choice

 

The third step is multiply the bottom _________ (the denominators)

• Top

• bottom

• side

• first

Multiple Choice

The last step is to __________ the fraction if the top and bottom numbers can get smaller.

• Reuse/recycle

• Subtract

• Reduce/simplify

• Multiply

Multiple Choice

$$\frac{5}{2}\times\frac{3}{2}$$  

• $$\frac{15}{4}\ simplified\ 3\ \frac{3}{4}$$  

• 15/2

• 8/4

• 12

Multiple Choice

• 3/6

• 4/6

• 3/8

• 9/4

Multiple Choice

$$\frac{5}{2}\ \times\ \frac{3}{4}$$  

• 1 7/8

• 15/8

• 8/6

• 17/4