kak tolong dengan pembagian pecahan

Pembagian pecahan. Pecahan adalah suatu bilangan yang berbentuk a/b dengan a dan b bilangan bulat serta b ≠ 0. a dinamakan pembilang dan b dinamakan penyebut.  

Mengubah pecahan campuran menjadi pecahan biasa

[tex]a\frac{b}{c} = \frac{c \times a + b}{c} [/tex]

Operasi hitung pada pecahan

Penjumlahan dan pengurangan (samakan penyebut)

• [tex]\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd} [/tex]
• [tex]\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} [/tex]

Perkalian

[tex]\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} [/tex]

Pembagian

[tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} [/tex]

Pembahasan

1. [tex]2 \frac{1}{3} \div 1 \frac{3}{4}[/tex]

= [tex]\frac{7}{3} \div \frac{7}{4}[/tex]

= [tex]\frac{7}{3} \times \frac{4}{7}[/tex]

= [tex]\frac{4}{3}[/tex]

2. [tex]1 \frac{1}{8} \div 2 \frac{4}{7}[/tex]

= [tex]\frac{9}{8} \div \frac{18}{7}[/tex]

= [tex]\frac{9}{8} \times \frac{7}{18}[/tex]

= [tex]\frac{1}{8} \times \frac{7}{2}[/tex]

= [tex]\frac{7}{16}[/tex]

3. [tex]2 \frac{4}{5} \div 1 \frac{2}{5}[/tex]

= [tex]\frac{14}{5} \div \frac{7}{5}[/tex]

= [tex]\frac{14}{5} \times \frac{5}{7}[/tex]

= [tex]\frac{14}{7}[/tex]

= 2

4. [tex]4 \frac{1}{7} \div 1 \frac{5}{49}[/tex]

= [tex]\frac{29}{7} \div \frac{54}{49}[/tex]

= [tex]\frac{29}{7} \times \frac{49}{54}[/tex]

= [tex]\frac{29}{1} \times \frac{7}{54}[/tex]

= [tex]\frac{203}{54}[/tex]

= [tex]3 \frac{41}{54}[/tex]

5. [tex]\frac{18}{5} \div 1 \frac{1}{30}[/tex]

= [tex]\frac{18}{5} \div \frac{31}{30}[/tex]

= [tex]\frac{18}{5} \times \frac{30}{31}[/tex]

= [tex]\frac{18}{1} \times \frac{6}{31}[/tex]

= [tex]\frac{108}{31}[/tex]

= [tex]3 \frac{15}{31}[/tex]

6. [tex]1 \frac{8}{17} \div 1 \frac{1}{3}[/tex]

= [tex]\frac{25}{17} \div \frac{4}{3}[/tex]

= [tex]\frac{25}{17} \times \frac{3}{4}[/tex]

= [tex]\frac{75}{68}[/tex]

= [tex]1 \frac{7}{68}[/tex]

7. [tex]3 \frac{6}{13} \div 1 \frac{9}{26}[/tex]

= [tex]\frac{45}{13} \div \frac{35}{26}[/tex]

= [tex]\frac{45}{13} \times \frac{26}{35}[/tex]

= [tex]\frac{45}{1} \times \frac{2}{35}[/tex]

= [tex]\frac{90}{35}[/tex]

= [tex]\frac{90 \div 5}{35 \div 5}[/tex]

= [tex]\frac{18}{7}[/tex]

= [tex]2 \frac{4}{7}[/tex]

8. [tex]2 \frac{11}{27} \div 1 \frac{2}{3}[/tex]

= [tex]\frac{65}{27} \div \frac{5}{3}[/tex]

= [tex]\frac{65}{27} \times \frac{3}{5}[/tex]

= [tex]\frac{65}{9} \times \frac{1}{5}[/tex]

= [tex]\frac{65}{45}[/tex]

= [tex]\frac{65 \div 5}{45 \div 5}[/tex]

= [tex]\frac{13}{9}[/tex]

= [tex]1 \frac{4}{9}[/tex]

9. [tex]1 \frac{37}{55} \div 2 \frac{1}{11}[/tex]

= [tex]\frac{92}{55} \div \frac{23}{11}[/tex]

= [tex]\frac{92}{55} \times \frac{11}{23}[/tex]

= [tex]\frac{92}{5} \times \frac{1}{23}[/tex]

= [tex]\frac{4}{5}[/tex]

10. [tex]1 \frac{5}{16} \div 1 \frac{1}{4}[/tex]

= [tex]\frac{21}{16} \div \frac{5}{4}[/tex]

= [tex]\frac{21}{16} \times \frac{4}{5}[/tex]

= [tex]\frac{21}{4} \times \frac{1}{5}[/tex]

= [tex]\frac{21}{20}[/tex]

= [tex]1 \frac{1}{20}[/tex]

Pelajari lebih lanjut    

Contoh soal lain tentang operasi hitung pecahan

https://brainly.co.id/tugas/20920434

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Detil Jawaban    

Kelas : 5

Mapel : Matematika

Kategori : Pecahan  

Kode : 5.2.5

Kata Kunci : Pembagian pecahan