fractions · 2019-08-02 · fractions are divisions all fractions can be written as decimals. you...

$: FRACTIONS · 2019-08-02 · Fractions are divisions All fractions can be written as decimals. You can change a fraction into a decimal by doing the division. The top number is called$
FRACTIONS

www.matematicasalmudena.com Almudena Casares Fernández

DIFFERENT MEANINGS OF FRACTION

Fractions are divisions

All fractions can be written as decimals. You can change a fraction into a decimal by doing thedivision.

The top number is called the numerator.The bottom number is called the denominator.

33 4 0.75

4


HOW DO YOU SAY IT?

We say the numerator with a cardinal and the

denominator with an ordinal separated with a

hyphen or each term with a cardinal and the

word “over”.

"Five-eighths" or “five over eight”5

8

2 4 7 15 8 13 2 5 9 1; ; ; ; ; ; ; ; ;

3 9 5 6 4 7 11 14 5 4


HOW DO YOU SAY IT?

Special fractions

“A half” or “half” or “one half”.

"56 thousandths"

When the denominator is a power of 10, however, we always say the decimal name.

“three-fourths” or “three quarters”

1

256

1000

3

4www.matematicasalmudena.com Almudena Casares Fernández

HOW DO YOU SAY IT?

VIDEO

https://www.youtube.com/watch?v=j8rT2bLajMI(min 0:40)

https://www.youtube.com/watch?v=c2VdLEEVbAw(min 2:18)

SINGING

https://www.youtube.com/watch?v=VxpbMg_WASs


https://www.youtube.com/watch?v=j8rT2bLajMI

https://www.youtube.com/watch?v=c2VdLEEVbAw

https://www.youtube.com/watch?v=VxpbMg_WASs

THE SET OF ALL FRACTIONS

/ and integer numbersa

Q a bb


PROPER AND IMPROPER FRACTIONS

A proper fraction is a fraction that is less than 1. We

can recognize a proper fraction when the numerator

is smaller than the denominator.

An improper fraction is a fraction greater than or

equal to 1. We can recognize an improper fraction

when the numerator is larger than or equal to the

denominator.

2

5

6;

5

51

5


FRACTIONS ARE A PART OF SOMETHING

Fractions are part of a unit (an entire object)

Sometimes, when we are using this concept we can say “out of” to express the fraction.

3 out of 5means3

5


FRACTIONS TRANSFORM AMOUNTS

Concept

40 40 40 40 40

200

200 : 5 40

40·2 80

2 of 200

580

2 of 200

5

Do it quickly!

To find a fraction of a

quantity, multiply the fraction

by the quantity.

2 of 200

5

2·200

5

40080

5


EQUIVALENT FRACTIONS

Equivalent fractions are fractions that have the same

value, or are at the same place on the number line.

They represent the same amount.

We make an equivalent fraction by dividing or

multiplying both the numerator and denominator by

the same number.

1

2

2

4

4

8


EQUIVALENT FRACTIONS

You can see when fractions are equivalent if

the cross-product is the same.

They are equivalent!

· ·a c

ad bcb d

3 12

4 16

3·16 48

4·12 48


REDUCING A FRACTION TO ITS LOWEST TERMS

Divide both terms by the greatest common

divisor.

This fraction is called reduced form or lowest

term or irreducible or simplest form.

12 2

30 5

This is the

simplest

form


FRACTIONS AND DECIMALS

All fractions can be written as a decimal. You

can change a fraction into a decimal by doing

the division.

You can change an exact decimal into a

fraction by looking at the place value of its

smallest digit.

20.4

5

25 10.25

100 4

6 30.6

10 5 79

0.0791000


fractions · 2019-08-02 · fractions are divisions all fractions can be written as decimals. you...

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