Matematika Sekolah Menengah Pertama 1. 5 7/9 6 3/4 = 2. 9 3/8 7 5/12 = 3. 5/8 - 5/11 = 4. 9 11/12 - 2 7/9 = 5. 6 3/9 - 4 5/15 =

1. 5 7/9 6 3/4 = 2. 9 3/8 7 5/12 = 3. 5/8 - 5/11 = 4. 9 11/12 - 2 7/9 = 5. 6 3/9 - 4 5/15 =

1. 5 [tex]\frac{7}{9}[/tex] + 6[tex]\frac{3}{4}[/tex] = [tex]\frac{451}{36}[/tex]

2. 9[tex]\frac{3}{8}[/tex] - 7[tex]\frac{5}{12}[/tex] = [tex]\frac{47}{24}[/tex]

3. [tex]\frac{5}{8}[/tex] - [tex]\frac{5}{11}[/tex] = = [tex]\frac{15}{88}[/tex]

4. 9[tex]\frac{11}{12}[/tex] - 2[tex]\frac{7}{9}[/tex] = [tex]\frac{257}{36}[/tex]

5. 6[tex]\frac{3}{9}[/tex] - 4[tex]\frac{5}{15}[/tex] = 2

Penjelasan dengan langkah-langkah

  • Diketahui: Beberapa pecahan campuran
  • Ditanya: Tentukan hasil operasi hitungnya!
  • Jawab:

Langkah 1

Untuk operasi hitung pecahan campuran, jadikan pecahan tersebut menjadi pecahan biasa terlebih dahulu.

Langkah 2

1. 5 [tex]\frac{7}{9}[/tex] + 6[tex]\frac{3}{4}[/tex]

= {(9 x 5) + 7 = [tex]\frac{52}{9}[/tex] } + {(4 x 6) + 3 = [tex]\frac{27}{4}[/tex] }

= [tex]\frac{208}{36}[/tex] + [tex]\frac{243}{36}[/tex]

= [tex]\frac{451}{36}[/tex]

2. 9[tex]\frac{3}{8}[/tex] - 7[tex]\frac{5}{12}[/tex] = (8 x 9) + 3 = [tex]\frac{75}{8}[/tex]

(12 x 7) + 5 = [tex]\frac{89}{12}[/tex]

=  [tex]\frac{75}{8}[/tex] - [tex]\frac{89}{12}[/tex]

=  [tex]\frac{225}{24}[/tex] - [tex]\frac{178}{24}[/tex]

= [tex]\frac{47}{24}[/tex]

Langkah 3

3. [tex]\frac{5}{8}[/tex] - [tex]\frac{5}{11}[/tex] = [tex]\frac{55}{88}[/tex] - [tex]\frac{40}{88}[/tex]

= [tex]\frac{15}{88}[/tex]

4. 9[tex]\frac{11}{12}[/tex] - 2[tex]\frac{7}{9}[/tex]

(12 x 9) + 11 = [tex]\frac{119}{12}[/tex]

(9 x 2) + 7 = [tex]\frac{25}{9}[/tex]

= [tex]\frac{119}{12}[/tex] - [tex]\frac{25}{9}[/tex]

= [tex]\frac{357}{36}[/tex] - [tex]\frac{100}{36}[/tex] = [tex]\frac{257}{36}[/tex]

5. 6[tex]\frac{3}{9}[/tex] - 4[tex]\frac{5}{15}[/tex]

(9 x 6) + 3 = [tex]\frac{57}{9}[/tex]

(15 x 4) + 5 = [tex]\frac{65}{15}[/tex]

[tex]\frac{57}{9}[/tex]- [tex]\frac{65}{15}[/tex] = [tex]\frac{285}{45}[/tex] - [tex]\frac{195}{45}[/tex]

= [tex]\frac{90}{45}[/tex] = 2

Pelajari lebih lanjut

Materi tentang pecahan: https://brainly.co.id/tugas/51738372

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