Tolong jawab beserta caranya

MAPEL = MATEMATIKA
KELAS = 8
BAB = OPERASI HITUNG ALJABAR

6.)

[tex] \frac{2}{3x} + \frac{3x + 2}{9x} \\ = \frac{2( \times 3)}{3x( \times 3)} + \frac{3x + 2}{9x} \\ = \frac{6 + 3x + 2}{9x} \\ = \frac{3x + 8}{9x} [/tex]
jawaban ➡ C.

7.)

[tex] \frac{3a}{4b} \div \frac{6a}{16 {b}^{2} } \\ = \frac{3a}{4b} \times \frac{16 {b}^{2} }{6a} \\ = \frac{48a {b}^{2} }{24ab} \\ = 2 b[/tex]
jawaban ➡ B.

semoga membantu

Kategori: Matematika - Operasi Hitung Aljabar
Kelas: VII SMP
Kata Kunci: pecahan, penyederhanaan
Pembahasan:

6. [tex] \frac{2}{3x}+ \frac{3x+2}{9x} [/tex] = [tex] \frac{6}{9x} + \frac{3x+2}{9x} [/tex]
                 = [tex] \frac{6 + 3x + 2}{9x} [/tex]
                 = [tex] \frac{3x+8}{9x} [/tex]

7. [tex] \frac{3a}{4b}: \frac{6a}{16b^{2} } [/tex] =  [tex] \frac{3a}{4b} \times \frac{16b^{2} }{6a} [/tex] 
                 = [tex] \frac{16b^{2}}{4b} \times \frac{3a}{6a} [/tex] 
                 = [tex] 4b \times \frac{1}{2}[/tex] 
                 = [tex] 2b[/tex]