1C Fractions

What is a fraction?

Fractions represent EQUAL parts of a whole or a set.

When we divide a whole into equal parts, each part is a fraction.

What is a fraction?

A fraction is a type of number that serves to express a

numerical value, where the unit is divided into equal parts. A
fraction is understood as the quotient of two numbers, that is, as

a division yet to be solved.

01

To read a fraction, first read the numerator as any number and then
the denominator as follows:

If the denominator is greater than 10: read the number as if it
were an ordinal number (and adding an -s if the numerator is
greater than 1).

How to read a fraction

1

2

3

4

5

6

7

8

9

10

wholes

halves

thirds

fourths

fifths

sixths

sevenths

eighths

ninths

tenths

If the denominator is:

Examples

3/8

Three eighths

1/4

One fourth (or quarter)

40/18

Forty eighteenths

8/2

Eight halves

A fraction can be represented by geometric models (figures), for example:

The following rectangle represents 1 integer or
unit, divided into 4 equal parts, of which 3 are
colored red and 1 is blue. We could say that ¾ are
colored red and ¼ is colored blue.

How to represent a fraction

The circle shown below represents 1 integer or unit,
and is divided into 3 equal parts, 2 of which are
colored yellow and 1 of which is colored green. We could
say that 2/3 are colored yellow and 1/3 green.

Fractions can also be applied to represent everyday situations; for example, a pizza, ice cream, tables,
bottles, etc.

How to represent a fraction

Fraction Basics​

a fraction has a NUMERATOR and a DENOMINATOR

​The small piece

​The whole thing

Multiple Choice

Which number is the numerator (top number)?

• 1

• 3

Match

Match the fraction with the correct circle.

• $$\frac{1}{4}$$

• $$\frac{1}{3}$$

• $$\frac{3}{4}$$

• $$\frac{1}{5}$$

• $$\frac{3}{5}$$

Multiple Choice

What  part of the whole is not shaded:

• $$\frac{4}{5}$$  

• $$\frac{1}{5}$$  

• $$\frac{1}{2}$$  

• $$\frac{2}{4}$$  

Multiple Choice

Which picture shows 3/4?

• green
• blue
• purple
• pink

Poll

How much do you know about the different types of fractions?

• nothing at all

• a little

• a good bit

• I'm an expert

Multiple Choice

What type of fraction is this?

$$\frac{9}{6}$$  

• Proper Fraction

• Improper Fraction

• Mixed Fraction

Multiple Choice

What type of fraction is this?

$$\frac{4}{5}$$  

• Proper Fraction

• Improper Fraction

• Mixed Fraction

Multiple Choice

What type of fraction is this?

$$\frac{15}{4}$$  

• Proper Fraction

• Improper Fraction

• Mixed Fraction

Multiple Choice

What is the whole number in this mixed number?

• 1

• 3

Multiple Choice

What kind of fraction is this?

• Proper fraction

• Improper fraction

• Mixed Number

Multiple Choice

What kind of fraction is this?

• Proper fraction

• Improper fraction

• Mixed Number

Multiple Choice

What kind of fraction is this?

• Proper fraction

• Improper fraction

• Mixed Number

Multiple Choice

What is the correct fraction?

Converting an Improper Fraction to a Mixed Number

Divide the numerator (top) by the denominator (bottom) and stop at the remainder.

Multiple Choice

Convert the improper fraction to a mixed number.

$$\frac{9}{4}$$  

• $$1\frac{4}{9}$$  

• $$2\ \frac{1}{4}$$  

• $$4\ \frac{1}{2}$$  

Multiple Choice

Convert the improper fraction to a mixed number. $$\frac{11}{5}$$  

• $$2\ \frac{1}{5}$$  

• $$5\ \frac{1}{2}$$  

• $$1\ \frac{2}{5}$$  

Multiple Choice

Convert the improper fraction into a mixed number. $$\frac{12}{5}$$  

• $$5\ \frac{1}{2}$$  

• $$2\ \frac{2}{5}$$  

• 6

Converting a Mixed number to an Improper Fraction

Get M.A.D.

M-Multiply the denominator and whole number

A-Add the previous amount to the numerator

D-Keep the denominator the same

Multiple Choice

Convert the mixed number to an improper fraction.  $$5\ \frac{1}{3}$$  

• $$\frac{16}{3}$$  

• $$\frac{15}{6}$$  

• $$3\ \frac{1}{6}$$  

Multiple Choice

Convert the mixed number to an improper fraction. $$5\ \frac{4}{9}$$  

• 5

• $$\frac{9}{4}$$  

• $$\frac{49}{9}$$  

Multiple Choice

$$2\ \frac{3}{8}$$  

Convert the mixed number to an improper fraction.

• $$\frac{8}{19}$$  

• $$\frac{19}{8}$$  

• 2

Multiple Choice

What do you call an equal fraction ?

• Equivalent  fraction
• Mixed fraction
• Improper fractions
• Denominator

Multiple Choice

Which fraction is equivalent to 1?

• 1/2
• 1/10
• 5/5
• 5/1

Open Ended

How many sixths are in two-fourths?

Open Ended

How many eights are in three-sixths?

Open Ended

How many eights are in three-fourths?

How do we know if fractions are equivalent?

How do we know if fractions are equivalent?

How do we know if fractions are equivalent?

Since we multiplied both the numerator and denominator by the same number, we know that the fractions are equivalent!

Let's do some more examples!

Compare the following fractions. Are they equivalent?

How do we turn 6 into 12?

Let's do some more examples!

Compare the following fractions. Are they equivalent?

Let's do some more examples!

Compare the following fractions. Are they equivalent?

How do we get 10 to 5? Remember, we can use × or ÷, but we cannot use + or −

Let's do some more examples!

Compare the following fractions. Are they equivalent?

How do we get 10 to 5? Remember, we can use × or ÷, but we cannot use + or −

​Practice Questions!

Multiple Choice

Compare the following fractions: $$\frac{1}{3}$$ and $$\frac{3}{9}$$

Are they equivalent?

• Yes

• No

Multiple Choice

Compare the following fractions: $$\frac{5}{10}$$ and $$\frac{10}{20}$$

Are they equivalent?

• Yes

• No

Multiple Choice

Compare the following fractions: $$\frac{3}{7}$$ and $$\frac{4}{14}$$

Are they equivalent?

• Yes

• No

Multiple Choice

Compare the following fractions: $$\frac{1}{6}$$ and $$\frac{5}{10}$$

Are they equivalent?

• Yes

• No

Multiple Choice

Compare the following fractions: $$\frac{2}{8}$$ and $$\frac{4}{16}$$

Are they equivalent?

• Yes

• No

Fill in the Blank

Multiple Choice

• 6/9
• 6/6
• 9/9
• 2/3

Multiple Choice

Complete the equivalent fraction. Ask yourself, how do I go from 5 to 25?

• 6
• 9
• 15
• 23

Multiple Choice

Ask yourself how do I go from 12 to 4? Did you multiply or divide? By what number? Do the same thing to your numerator and denominator.

• 1
• 3
• 9
• 8

Multiple Choice

Ask yourself how do I go from 12 to 4? Did you multiply or divide? By what number? Do the same thing to your numerator and denominator.

• 1
• 3
• 9
• 8

Multiple Choice

Tom and Kate are arguing equivalent fractions. Who is correct?

• Only Tom

• Only Katie

• Both Tom and Katie

• Neither is correct