1. 3/5:1/7=... 2. 5 4/5×2 3/7=... 3. 2 8/10:1/2=... 4. 2 3/7×5/6=.., 5. 2/3×6-1/2=...

Operasi perkalian dan pembagian pecahan

• 1. 3/5 : 1/7 = [tex]\displaystyle 4\frac{1}{5}[/tex]
• 2. 5 4/5 × 2 3/7 = [tex]\displaystyle 14\frac{3}{35}[/tex]
• 3. 2 8/10 : 1/2 = [tex]\displaystyle 5\frac{3}{5}[/tex]
• 4. 2 3/7 × 5/6 = [tex]\displaystyle 2\frac{1}{42}[/tex]
• 5. 2/3 × 6 - 1/2 = [tex]\displaystyle 3\frac{1}{2}[/tex]

Pendahuluan

Pecahan adalah bilangan yang dinyatakan dengan bentuk a/b dimana b ≠ 0.

Pembahasan

• 1. 3/5 : 1/7 =

[tex]\displaystyle \frac{3}{5} : \frac{1}{7}[/tex] = [tex]\displaystyle \frac{3}{5} \times \frac{7}{1}[/tex]

       = [tex]\displaystyle \frac{21}{5}[/tex]

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

• 2. 5 4/5 × 2 3/7 =

[tex]\displaystyle 5\frac{4}{5} \times 2\frac{3}{7}[/tex] = [tex]\displaystyle \frac{29}{5} \times \frac{17}{7}[/tex]

             = [tex]\displaystyle \frac{493}{35}[/tex]

             = [tex]\displaystyle 14\frac{3}{35}[/tex]

• 3. 2 8/10 : 1/2 =

[tex]\displaystyle 2\frac{8}{10} : \frac{1}{2}[/tex] = [tex]\displaystyle \frac{28}{10} : \frac{1}{2}[/tex]

            = [tex]\displaystyle \frac{28}{10} \times \frac{2}{1}[/tex]

            = [tex]\displaystyle \frac{28}{5}[/tex]

            = [tex]\displaystyle 5\frac{3}{5}[/tex]

• 4. 2 3/7 × 5/6 =

[tex]\displaystyle 2\frac{3}{7} \times \frac{5}{6}[/tex] = [tex]\displaystyle \frac{17}{7} \times \frac{5}{6}[/tex]

           = [tex]\displaystyle \frac{85}{42}[/tex]

           = [tex]\displaystyle 2\frac{1}{42}[/tex]

• 5. 2/3 × 6 - 1/2 =

[tex]\displaystyle \frac{2}{3} \times 6 - \frac{1}{2}[/tex] = [tex]\displaystyle 4 - \frac{1}{2}[/tex]

               = [tex]\displaystyle 3\frac{2}{2} - \frac{1}{2}[/tex]

               = [tex]\displaystyle 3\frac{1}{2}[/tex]

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Pelajari lebih lanjut tentang Pecahan

1. Tentukan hasil pecahan perkalian → brainly.co.id/tugas/7072120
2. Kumpulan soal pecahan → brainly.co.id/tugas/23501235
3. Tentukan hasil dari operasi campuran pecahan → brainly.co.id/tugas/11882442

Detail Jawaban

• Kelas         : 7 SMP
• Mapel        : Matematika
• Materi       : Bab 1 - Bilangan
• Kode         : 7.2.1

#AyoBelajar

Penjelasan dengan langkah-langkah:

4).

2 3/7 × 5/6 = 17/7 × 5/6

= (17 × 5) / (7 × 6)

= 85/42

= 2 1/42

5).

2/3 × 6 – ½ = 4 – ½

= 4/1 – ½

= (4 × 2) / (1 × 2) – ½

= 8/2 – ½

= 7/2

= 3 ½