Matemática GeneralProf. Egberto Hernández

E-mail: prof.ehernandez@hotmail.com

Website: www.profehernandez.weebly.com

Cel: 787-240-9446

Fracciones

• Fracciones Propias

• Fracciones Impropias

• Fracciones Aparentes

Fracciones Propias

• Son aquellas donde el numerador es menor que el denominador

• Ejemplo:

–1/2

–7/8

–3/16

Fracciones Impropias

• son aquellas donde el numerador es mayor que el denominador

• Ejemplo:

–4/2

–8/7

–16/4

Fracciones Aparentes

• Son aquellas donde el numerador es igual a l denominador

• Ejemplo:

–2/2

–8/8

–16/16

Numeros MixtosMatematica General

Números Mixtos

Escritura de números mixtos como fracciones impropias

Escritura de fracciones impropiascomo números mixtos

Graficación de fracciones y números mixtos

Multiplicación y División de Números Mixtos

Multiplicación y División de Números Mixtos

Números Mixtos

SUMA Y RESTA DE NÚMEROS MIXTOS

Suma de Números Mixtos

Suma de Números Mixtos

Resta de Números Mixtos

Resta de Números Mixtos

Números Mixtos

ORDEN DE OPERACIONES

Orden de Operaciones

Fracciones Propias

• Son aquellas donde el numerador es menor que el denominador

• Ejemplo:

–1/2

–7/8

–3/16

Fracciones Impropias

• son aquellas donde el numerador es mayor que el denominador

• Ejemplo:

–4/2

–8/7

–16/4

Fracciones Aparentes

• Son aquellas donde el numerador es igual al denominador

• Ejemplo:

–2/2

–8/8

–16/16

• Julianna hizo 20 chocolates y quiere guardarlos en envases que contengan la misma cantidad.

– De cuantas formas distintas puede guardar los chocolates?

• Pilar desea hacer una receta de una bebida para una fiesta. Para la receta, se necesita ¼ taza de azucar y ella tiene 2 tazas.

– Cuantas veces puede hacer la receta de la bebida, si utiliza todo el azucar que tiene?

• Un ciclista debe recorrer 105 km. El primer dia recorre 1/3 del camino y el segundo dia 2/5 dejando el resto para el tercer dia.

– Cuantos kilometros recorre cada dia?

• Luis tiene una colección de 96 postales. Los 3/8 son de paisajes, los 5/12 de monumentos y el resto de barcos.

Ejercicios Practica

• Repaso

– Fracciones

– Cap #3

• ej. 48

Decimales

• Existen tres tipos de números decimales

–Números decimales exactos

–Números decimales periódicos• Periódico puro

• Periódico mixto

–Números decimales no exactos y no periódicos

Decimales

• Existen tres tipos de números decimales

–Números decimales exactos

•Tienen un numero limitado de cifras decimales

Decimales

• Existen tres tipos de números decimales

–Números decimales periódicos• Tienen un numero ilimitados de

decimales

• Periódico puro – la cifra se repiten a partir del punto

• Periódico mixto – la cifra no se repite a partir del punto

Decimales

• Existen tres tipos de números decimales

–Números decimales no exactos y no periódicos

• Tienen un numero ilimitado de cifras decimales no periódicas

Suma o Resta

• Colocamos los números, de forma que lospuntos decimales estén en la misma columnay se añaden los ceros necesarios para quetodos tengan el mismo numero de decimales.

• Sumamos o restamos como si fueran númerosnaturales, manteniendo el punto en su lugarcorrespondiente.

Suma o Resta

• Ejercicios

Multiplicando

• Para Multiplicar un numero decimal por launidad seguida de ceros desplazamos el puntohacia la derecha tantos lugares como cerostenga la unidad.

Math FlashFractions I

By Monica Yuskaitis

Parts of a Fraction

3

4

= the number of parts

= the total number of

parts that equal a

whole

Parts of a Fraction

3

4

= numerator

= denominator

Which number is circled?

3

4 = denominator

Which number is circled?

3

4

= numerator

¾ looks like

1/43

4 1/4

1/4

¾ looks like

1/4

3

4 1/4

1/4

¾ looks like

3

4

1/4

1/4

1/4

What fraction of the balls are purple?

3

4

What fraction of the balls are purple?

1

4

What fraction of the balls are purple?

1

6

What fraction of the balls are purple?

4

6

What fraction of the rectangle is purple?

4

6

What fraction of the rectangle is purple?

2

6

What fraction of the pie is purple?

4

4

What fraction of the pie is purple?

3

4

What fraction of the musical instruments have strings?

2

5

What fraction of the arrowshit the bullseye?

1

3

What fraction of the pins areknocked down?

3

10

Credits

Clipart from “Clip Art 125,000”

by T/Maker a subsidiary of

Broderbund

Math FlashFractions II

By Monica Yuskaitis

How many halves are in a whole?

21/2 1/2

How many quarters are in a whole?

41/4 1/4

1/4 1/4

How many eighths are in a whole?

8

1/8 1/8

1/8 1/8

1/8 1/8

1/8 1/8

How many eighths are in a quarter?

21/4

1/8

1/8

How many eighths are in a half?

41/2

1/8 1/8

1/8 1/8

How many quarters are in a half?

21/4

1/41/2

How many thirds are in a whole?

31/3

1/3 1/3

How many sixths are in a whole?

61/6

1/6 1/6

1/6 1/6

1/6

How many sixths are in a third?

21/6

1/6

1/3

How many sixths are in a half?

31/6

1/21/6

1/6

How many fifths are in a whole?

51/5 1/5

1/5 1/5

1/5

How many tenths are in a whole?

101/10 1/10

1/10

1/10

1/10

1/10

1/10

1/10 1/10

1/10

How many tenths are in a fifth?

21/5

1/10

1/10

How many tenths are in a half?

51/10

1/10

1/10

1/10

1/10 1/2

Fractions VISimplifying Fractions

By Monica Yuskaitis

Factor

• A number that divides evenly into another.

Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24.

What are the factors of 9?

Factors of 9 are 1, 3 and 9.

What are the factors of 10?

Factors of 10 are 1, 5 and 10.

What are the factors of 7?

Factors of 7 are 1 and 7.

What are the factors of 56?

Factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.

Common Factor

When two numbers have the same factor it is called a common factor.

A common factor of 12 and 6 is 3.

Name a Common Factor of 9 and 27?

1, 3, 9

Name a Common Factor of 4 and 8?

1, 2, 4

Name a Common Factor of 4 and 8?

1, 2, 4

Name a Common Factor of 15 and 30?

1, 3, 5, 15

Name a Common Factor of 12 and 48?

1, 2, 3, 4, 6, 12

Name a Common Factor of 9 and 21?

1, 3, 9,

Name a Common Factor of 10 and 25?

1, 5, 10

Name a Common Factor of 3 and 4?

1

Simplest Form

• When the only common factor of the numerator and denominator is 1, the fraction is in simplest form.

34

34÷

11 =

Greatest Common Factor

• The greatest common factor is the largest factor between two numbers.

12 = 1, 2, 3, 4, 6, 12

18 = 1, 2, 3, 6, 9, 18

What is the Greatest Common Factor?

8 = 1, 2, 4, 8

12 = 1, 2, 3, 4, 6, 12

What is the Greatest Common Factor?

8 = 1, 2, 4, 8

14 = 1, 2, 7,14

What is the Greatest Common Factor?

6 = 1, 2, 3, 6

18 = 1, 2, 3, 6, 9, 15

What is the Greatest Common Factor?

6 = 1, 2, 3, 6

12 = 1, 2, 3, 4, 6, 12

What is the Greatest Common Factor?

8 = 1, 2, 4, 8

16 = 1, 2, 4, 8, 16

What is the Greatest Common Factor?

8 = 1, 2, 4, 8

10 = 1, 2, 5, 10

What is the Greatest Common Factor?

3 = 1, 3

6 = 1, 2, 3, 6

What is the Greatest Common Factor?

4 = 1, 2, 4

6 = 1, 2, 3, 6

What is the Greatest Common Factor?

7 = 1, 7,

21 = 1, 3, 7, 21

What is the Greatest Common Factor?

15 = 1, 3, 5, 15

24 = 1, 2, 3, 8, 12, 24

How to Find the Simplest Form of a Fraction

• Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number.

1218

23÷

66 =

Simplify or Reduce This Fraction

1218

23

÷66

=

Simplify or Reduce This Fraction

921

37

÷33

=

Simplify or Reduce This Fraction

1220

35

÷44

=

Simplify or Reduce This Fraction

1015

23

÷55

=

Simplify or Reduce This Fraction

1016

58

÷22

=

Simplify or Reduce This Fraction

1216

34

÷44

=

Simplify or Reduce This Fraction

312

14

÷33

=

Simplify or Reduce This Fraction

28

14

÷22

=

Simplify or Reduce This Fraction

24

12

÷22

=

Simplify or Reduce This Fraction

69

23

÷33

=

Simplify or Reduce This Fraction

68

34

÷22

=