SESO DEL IES LAS CUMBRES. GRAZALEMA                                                                                          MATEMÁTICAS 1º ESO

1.- FRACCIÓN

     Fraccionar
     Dividir en partes iguales.

     Fracción como parte de un todo o unidad. Fracción como cociente. Fracción propia,
     fracción igual a la unidad y fracción impropia. Fracción impropia y número mixto




                         Fracción

                         Numerador: Partes que tomamos
        3
        4
                         Denominador: Partes en que fraccionamos

                         Dividendo

                              Divisor

        3               3
          =3 : 4=0,751⇒ , fracción propia
        4               4

                                           COCIENTE
································································································································································
         7
        10




         7                7
           =7 :10=0,71⇒    , fracción propia
        10               10

································································································································································




        5
        6

        5              5
          =5:6=0,8 31 ⇒ , fracción propia
        6               6
                                                                                                                                                              1
5
        5

        5         5
          =5 :5=1⇒ , fracción igual a la unidad
        5         5

································································································································································

      10
      10




        10           10
           =10:10=1 ⇒ , fracción igual a launidad
        10           10

································································································································································




        12
        12

        12    12
           =1⇒ , fracción igual a la unidad
        12    12

································································································································································

        20
        20




        20     20
           =1 ⇒ , fracción igual a la unidad
        20     20

                                                                                                                                                              2
8
        5




        8              8
          =8 : 5=1,61⇒ , fracción impropia
        5              5

            8     5
            3     1

            8   3
              =1 , número mixto
            5   5
             3 1· 53 53 8
            1 =      =   = ; fracción impropia
             5    5    5  5

       Calculadora:
       fx – 82SX                  fx – 82MS

       8 a b/ c 5 =                 SHIFT            d /c


································································································································································


        3
        2

        3              3
          =3 :2=1,51 ⇒ , fracción impropia
        2              2

            3     2
            1     1

            3   1
              =1 , número mixto
            2   2
             1 1 · 21 21 3
            1 =       =   = ; fracción impropia
             2     2    2  2
                                                                                                                                                              3
15
     4




    15                15
       =15 : 4=3,751⇒ , fracción impropia
     4                 4

     15 4
      3   3

     15   3
        =3 , número mixto
      4   4
      3 3· 43 123 15
     3 =      =    = ; fracción impropia
      4    4     4   4

Fracción como operador
Ejemplo
                                  2
De los 30 alumnos de 1º de ESO,     son chicas. ¿Cuántas chicas son?
                                  3

    2                2 ·30 60
      de 30 alumnos=      = =20 chicas
    3                  3    3

Representación de fracciones en la recta numérica. Fracción como medida

    5    1
      =2
    2    2


0         1   2      3      4
                                                                          4
2
      3


  0             1        2


      14    2
         =4
       3    3


  0             1        2           3           4          5


      11    3
         =2
       4    4


  0                 1            2               3



Ejercicio propuesto 1, 2, 3, 4, 5 → Ejercicio resuelto 1, 2, 3, 4, 5




                                                                       5

1.- Fracción

  • 1.
    SESO DEL IESLAS CUMBRES. GRAZALEMA MATEMÁTICAS 1º ESO 1.- FRACCIÓN Fraccionar Dividir en partes iguales. Fracción como parte de un todo o unidad. Fracción como cociente. Fracción propia, fracción igual a la unidad y fracción impropia. Fracción impropia y número mixto Fracción Numerador: Partes que tomamos 3 4 Denominador: Partes en que fraccionamos Dividendo Divisor 3 3 =3 : 4=0,751⇒ , fracción propia 4 4 COCIENTE ································································································································································ 7 10 7 7 =7 :10=0,71⇒ , fracción propia 10 10 ································································································································································ 5 6 5  5 =5:6=0,8 31 ⇒ , fracción propia 6 6 1
  • 2.
    5 5 5 5 =5 :5=1⇒ , fracción igual a la unidad 5 5 ································································································································································ 10 10 10 10 =10:10=1 ⇒ , fracción igual a launidad 10 10 ································································································································································ 12 12 12 12 =1⇒ , fracción igual a la unidad 12 12 ································································································································································ 20 20 20 20 =1 ⇒ , fracción igual a la unidad 20 20 2
  • 3.
    8 5 8 8 =8 : 5=1,61⇒ , fracción impropia 5 5 8 5 3 1 8 3 =1 , número mixto 5 5 3 1· 53 53 8 1 = = = ; fracción impropia 5 5 5 5 Calculadora: fx – 82SX fx – 82MS 8 a b/ c 5 = SHIFT d /c ································································································································································ 3 2 3 3 =3 :2=1,51 ⇒ , fracción impropia 2 2 3 2 1 1 3 1 =1 , número mixto 2 2 1 1 · 21 21 3 1 = = = ; fracción impropia 2 2 2 2 3
  • 4.
    15 4 15 15 =15 : 4=3,751⇒ , fracción impropia 4 4 15 4 3 3 15 3 =3 , número mixto 4 4 3 3· 43 123 15 3 = = = ; fracción impropia 4 4 4 4 Fracción como operador Ejemplo 2 De los 30 alumnos de 1º de ESO, son chicas. ¿Cuántas chicas son? 3 2 2 ·30 60 de 30 alumnos= = =20 chicas 3 3 3 Representación de fracciones en la recta numérica. Fracción como medida 5 1 =2 2 2 0 1 2 3 4 4
  • 5.
    2 3 0 1 2 14 2 =4 3 3 0 1 2 3 4 5 11 3 =2 4 4 0 1 2 3 Ejercicio propuesto 1, 2, 3, 4, 5 → Ejercicio resuelto 1, 2, 3, 4, 5 5