Fraction Review

Factors, Multiples, Prime & Composite

Review

What do you know about fractions?

-A fractions compares a part to a total

-A fraction look like 3/4

-A fraction has a numerator and a denominator

Multiple Choice

What fraction is green?

• 1/4

• 1/2

• 2/3

• 2/3

WHAT IS A FACTOR ?

• a number that divides into another number exactly, without leaving a remainder

• A factor is a number when multiplied with another number produces a given number

Multiple Choice

What are factors?

• The top number in a fraction.

• The numbers multiplied together to make a product.

• The bottom number in a fraction.

• Angles smaller than 90 degrees.

Fill in the Blanks

The numbers that are multiplied to get a given number are called

.

Multiple Choice

Which are FACTORS OF 10?

• 1, 2, 5, 10

• 10, 20, 30, 40

Multiple Choice

Which number is a factor of 36?

• 7

• 9

• 10

• 5

Multiple Choice

Which number is NOT a factor of 10?

• 1

• 2

• 3

• 5

What is a Multiple ?

• the meaning of a multiple is the product result of one number multiplied by another number

• aka THE RESULT

• aka THE ANSWER

• aka THE PRODUCT

Fill in the Blanks

The numbers you get when you skip-count are called

.

Multiple Choice

Which number is a multiple of 6?

• 2

• 3

• 12

• 1

Multiple Choice

List the first 5 multiples of 8

• 1, 2, 4, 8

• 8, 16, 25, 32, 40

• 8, 16, 24, 32, 40

• 8, 16, 24, 31, 40

Multiple Choice

Which number is not a multiple of 6?

• 12

• 42

• 18

• 35

Multiple Choice

When we skip count, we are listing .....

• factors

• divisors 

• addition 

• multiples

Multiple Choice

List the first 5 MULTIPLES of 3

• 3, 6 10, 15, 20

• 1, 3, 2, 6, 4

• 3, 6, 9, 12, 15

• 6, 9, 12, 15, 18

Multiple Select

Which are the MULTIPLES of 6?

• 1,2,3,6

• 6, 12, 18, 24

Multiple Choice

Which answer choice lists all the factors for 27?

• 3, 9

• 1, 3, 9, 27

• 1, 3, 6, 9, 12, 27

• 1, 3, 6, 9, 18, 27

Multiple Choice

Which are MULTIPLES of 7?

• 7, 14, 21, 28

• 1, 7

Multiple Choice

Which are FACTORS of 8?

• 1, 2, 4, 8

• 8, 16, 24, 32

Multiple Choice

What is GCF?

• Good Common Factor

• Greatest Common Factor

Multiple Choice

What is LCM?

• Last Common Multiple

• Least Common Multiple

Fill in the Blanks

What is the LCM of 10 and 20?

Fill in the Blanks

What is the GCF of 28 and 32?

Multiple Choice

A PRIME NUMBER is...

• a number that has only one factor.

• a number that has at least two factors.

• a number that has more than two factors.

• a number that has only two factors. (1 and itself)

Poll

We learned about prime numbers earlier this year.  How do feel about your knowledge of prime numbers?

• Right now, I don't really understand prime numbers.

• I feel like am starting to understand prime numbers, but I need more time and practice.

• I feel pretty good about prime numbers, but more time and practice couldn't hurt, right?

• I totes got this!

Multiple Choice

Which number is the only even prime number?

• 0

• 2

• 1

• 3

Multiple Choice

Composite numbers have

• no factors.

• one factor.

• two factors.

• three or more factors.

Multiple Choice

How is a prime number different from a composite number?

• Prime numbers are smaller than composite numbers.

• Composite numbers are larger than prime numbers.

• All odd numbers are prime numbers.

• Prime numbers have only 2 factors, and composite numbers have more than 2 factors.

Multiple Choice

True or False?

1 is a prime number.

• True

• False

Multiple Choice

Are all even numbers composite numbers?

• Yes

• No

Multiple Choice

Which number is COMPOSITE?

• 3

• 7

• 23

• 81

Multiple Choice

Which number is PRIME?

• 2

• 4

• 9

• 21

Multiple Choice

Is 21 Prime or Composite?

• Prime

• Composite

Multiple Choice

is 5 prime or composite?

• prime

• composite

Multiple Choice

Is 23 Prime or Composite?

• Prime

• Composite

Definition of Equivalent

Equivalent means...

Equal to

Has the same value

Open Ended

What do you notice about the numbers in the equivalent fractions?

Look at the fractions and the pictures that represent them.

Multiple Choice

Use the number line to find one equivalent fraction for 3/4.

• 7/8

• 6/8

• 13/16

• 2/8

Multiple Choice

Which fraction is equivalent to 4/6?

• 1/3

• 2/3

• 1/6

• 2/6

Multiple Choice

Use the fractions on a number line to find a fraction that is equivalent to 3/6.

• 4/6

• 7/12

• 6/12

• 2/3

How do you find equivalent fractions?

• You can multiply the numerator and denominator by the same number

• You can divide the numerator and denominator by the same number

Equivalent Fractions Example

• Equivalent Fractions have the same value, even though they may look different.

• 1/2 = 2/4 = 4/8

• The rule to remember is:

  "Change the bottom using multiply or divide, And the same to the top must be applied"

4

6​

What could some equivalent fractions of 4/6 be? *Hint: you can go up by multiplying or down by dividing!

Let's find out how to do the "bottoms up" method!​

Look at the image to the left.

​Equivalent fractions have different numerators and denominators, but their value is the same

​

Multiple Choice

Which fraction is equivalent to 1?

• 1/2

• 1/10

• 5/5

• 5/1

Multiple Choice

_{True or False?}

• True

• False

Multiple Choice

¹/_{4 is equivalent to which other fraction?}

• ⁴/₁₀

• ⁴/₂₀

• ⁴/₁₆

• ⁶/₁₆

Multiple Choice

Do the math!

• 6/9

• 6/6

• 9/9

• 2/3

Multiple Choice

Find the equivalent fraction for

$$\frac{1}{2}$$  

• $$\frac{5}{6}$$  

• $$\frac{2}{4}$$  

• $$\frac{3}{8}$$  

Multiple Choice

Find the equivalent fraction for

$$\frac{1}{6}$$  

• $$\frac{2}{12}$$  

• $$\frac{10}{11}$$  

• $$\frac{3}{7}$$  

Multiple Choice

Find the equivalent fraction for

$$\frac{1}{5}$$  

• $$\frac{1}{12}$$  

• $$\frac{2}{3}$$  

• $$\frac{2}{10}$$  

Multiple Choice

Find the equivalent fraction for

$$\frac{2}{9}$$  

• $$\frac{4}{18}$$  

• $$\frac{5}{18}$$  

• $$\frac{1}{10}$$  

Multiple Choice

Select the equivalent fraction for 2/3

• 4/6

• 8/10

• 3/9

• 6/12

Multiple Choice

Find the equivalent fraction for

$$\frac{1}{4}$$  

• $$\frac{4}{5}$$  

• $$\frac{2}{8}$$  

• $$\frac{1}{5}$$  

Multiple Choice

Which is NOT an equivalent fraction to one half?

• 2/4

• 2/3

• 4/8

• 3/6

Multiple Choice

Find the equivalent fraction for

$$\frac{1}{3}$$  

• $$\frac{2}{6}$$  

• $$\frac{2}{5}$$  

• $$\frac{2}{9}$$  

Multiple Choice

Find the equivalent fraction for

$$\frac{2}{3}$$  

• $$\frac{2}{6}$$  

• $$\frac{2}{5}$$  

• $$\frac{4}{6}$$  

Multiple Choice

Find the equivalent fraction for

$$\frac{1}{7}$$  

• $$\frac{1}{13}$$  

• $$\frac{1}{14}$$  

• $$\frac{2}{14}$$  

Multiple Choice

Find the equivalent fraction for

$$\frac{4}{5}$$  

• $$\frac{8}{10}$$  

• $$\frac{7}{10}$$  

• $$\frac{1}{14}$$  

Simplifying Fractions

• Reduce

• Simplest Terms/Form

• Lowest Terms/Form

Simplifying fractions

Also known as reducing!!

Simplify

rewriting a fraction using the smallest numerator and denominator without changing the value of the fraction.

Just remember -

Whatever you do to the top, you have to do the same to the bottom.

Simplifying Fractions

We use simplification to find a fraction that is easier to use. We try to find familiar fractions that we have worked with before. For example, if we have the fraction, 36/40, we could simplify to 9/10.

Where to Start

• Look at the numerator and denominator

• Look for any patterns or fact families

• LIST OUT THE FACTORS OF BOTH THE NUMERATOR AND DENOMINATOR

Simplify

Multiple Select

Select factors for the number 8.

• 5 x 2

• 4 x 2

• 8 x 1

• 7 + 1

Multiple Choice

Divide

$$\frac{8}{24}$$   by 8. 

• $$\frac{2}{3}$$  

• $$\frac{4}{12}$$  

• $$\frac{1}{3}$$  

• 4

• $$\frac{1}{4}$$  

Oh no! What if I forget all the factors for a number?

This happens often! Don't panic. Do what you know and reduce, reduce, reduce! Until you can't anymore! 

Select the GCF you've listed. For example, let's say our fraction is 8/24 and you choose 4 (instead of 8) as your GCF. Divide both the numerator and denominator by 4. You will get 2/6. Start the process over. List factors of 2 and 6. Divide by the GCF. You will get 1/3. 

Multiple Choice

Put

$$\frac{24}{36}$$  

into simplest form

• $$\frac{2}{3}$$  

• $$\frac{4}{6}$$  

• $$\frac{4}{5}$$  

• $$\frac{3}{12}$$  

Multiple Choice

Simplify

$$\frac{15}{25}$$  

• $$\frac{1}{5}$$  

• $$\frac{4}{5}$$  

• $$\frac{5}{6}$$  

• $$\frac{3}{5}$$  

Multiple Choice

$$\frac{10}{12}\ =$$  

• $$\frac{2}{3}$$  

• $$\frac{3}{4}$$  

• $$\frac{5}{6}$$  

• $$\frac{6}{7}$$  

Multiple Choice

Reduce

$$\frac{16}{32}$$  

• $$\frac{2}{4}$$  

• $$\frac{1}{2}$$  

• $$\frac{8}{16}$$  

• $$\frac{4}{8}$$  

Multiple Choice

Simplify  70/80  to lowest terms.

• 35/40

• 7/8

• 9/10

• 14/16

Fill in the Blanks

Simplify

$\frac{2}{12}$  

Multiple Choice

Simplify  9/18  to lowest terms.

• 1/2

• 3/6

• 9/18

• 5/10

Multiple Choice

reduce $$\frac{3}{30}$$  

• 6/90

• 1/10

• 2/15

• 4/40