### Soal dan Pembahasan Operasi Bilangan Pecahan

Soal dan Pembahasan Operasi Bilangan Pecahan

1. $\displaystyle \frac{2}{3}+5\frac{1}{3}-2\frac{5}{6}=....$
a. $\displaystyle 3\frac{1}{6}$ $\quad$ c. $\displaystyle -3\frac{1}{6}$
b. $\displaystyle 4\frac{1}{6}$ $\quad$ d. $\displaystyle -4\frac{1}{6}$
Pembahasan:

2. $\displaystyle 5-\frac{2}{5}\times 7+\frac{10}{11}=....$
a. $\displaystyle 1\frac{6}{55}$ $\quad$ c. $\displaystyle 3\frac{6}{55}$
b. $\displaystyle 2\frac{6}{55}$ $\quad$ d. $\displaystyle 4\frac{6}{55}$
Pembahasan:

3. $\displaystyle \frac{\frac{3}{5}\times \frac{25}{21}-2\frac{7}{3}}{\frac{4}{3}-10}=....$
a. $\displaystyle \frac{35}{91}$ $\quad$ c. $\displaystyle \frac{37}{91}$
b. $\displaystyle \frac{36}{91}$ $\quad$ d. $\displaystyle \frac{38}{91}$
Pembahasan:

4. $\displaystyle -3\times \left(\frac{2}{5}+\frac{5}{2}-5\times \frac{1}{3}\right): -7\frac{4}{9}=....$
a. $\displaystyle \frac{333}{670}$ $\quad$ c. $\displaystyle \frac{335}{670}$
b. $\displaystyle \frac{334}{670}$ $\quad$ d. $\displaystyle \frac{336}{670}$
Pembahasan:

5. $\displaystyle \left(-1\frac{2}{3}+5\frac{1}{6}\right)^{-2}\times \frac{7}{8}+\frac{1}{8}=....$
a. $\displaystyle \frac{13}{56}$ $\quad$ c. $\displaystyle -\frac{13}{56}$
b. $\displaystyle \frac{11}{56}$ $\quad$ d. $\displaystyle -\frac{11}{56}$
Pembahasan:

6. $\displaystyle \frac{\sqrt{\frac{2}{3}\times \frac{8}{3}}+ 1\frac{1}{2}}{\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}\right)^{-1}}$
a. $\displaystyle 3\frac{61}{144}$ $\quad$ c. $\displaystyle 5\frac{61}{144}$
b. $\displaystyle 4\frac{61}{144}$ $\quad$ d. $\displaystyle 6\frac{61}{144}$
Pembahasan:

7. $\displaystyle \frac{\left(\frac{15}{8}-4\frac{2}{9}\right)^{-2}\times \frac{7}{5}}{-\frac{1}{3}+\frac{5}{2}}$
a. $\displaystyle \frac{217728}{1856465}$ $\quad$ c. $\displaystyle \frac{217726}{1856465}$
b. $\displaystyle \frac{217727}{1856465}$ $\quad$ d. $\displaystyle \frac{217725}{1856465}$
Pembahasan:

8. $\displaystyle \frac{1}{\frac{1}{10}+\frac{2}{100}+\frac{3}{1000}+\frac{4}{10000}}=....$
a. $\displaystyle 7\frac{64}{617}$ $\quad$ c. $\displaystyle 9\frac{64}{617}$
b. $\displaystyle 8\frac{64}{617}$ $\quad$ d. $\displaystyle 10\frac{64}{617}$
Pembahasan: