Hitunglah hasil operasi pecahan berikut.
- [tex]a. \: \left(-\frac{1}{2} + \frac{1}{4} \right) \times \left(-\frac{1}{5} - \frac{1}{10} \right)[/tex]
- [tex]b. \: \left(-\frac{3}{5} - \frac{2}{3} \right) \div \left(\frac{1}{2} - (-\frac{3}{5}) \right)[/tex]
- [tex]c. \: -3\frac{2}{3} + \frac{3}{10} \times \left(-4\frac{1}{6}\right) + 1\frac{3}{4}[/tex]
- [tex]d. \: 4\frac{1}{5} \times \left(-6 \frac{3}{7}\right) + 5\frac{5}{8} \div 2\frac{1}{12} - 10\frac{7}{15}[/tex]
Hasil dari operasi hitung pecahan di atas adalah:
- [tex]a. \: \frac{3}{40}[/tex]
- [tex]b. \: -1\frac{5}{33}[/tex]
- [tex]c. \: -3\frac{1}{6}[/tex]
- [tex]d. \: -34\frac{23}{30} [/tex]
Penjelasan dengan langkah-langkah
Diketahui
[tex]a. \: \left(-\frac{1}{2} + \frac{1}{4} \right) \times \left(-\frac{1}{5} - \frac{1}{10} \right)[/tex]
[tex]b. \: \left(-\frac{3}{5} - \frac{2}{3} \right) \div \left(\frac{1}{2} - (-\frac{3}{5}) \right)[/tex]
[tex]c. \: -3\frac{2}{3} + \frac{3}{10} \times \left(-4\frac{1}{6}\right) + 1\frac{3}{4}[/tex]
[tex]d. \: 4\frac{1}{5} \times \left(-6 \frac{3}{7}\right) + 5\frac{5}{8} \div 2\frac{1}{12} - 10\frac{7}{15}[/tex]
Ditanyakan
Tentukan hasil operasi hitung pecahan di atas!
Jawab
[tex]a. \: \left(-\frac{1}{2} + \frac{1}{4} \right) \times \left(-\frac{1}{5} - \frac{1}{10} \right)[/tex]
[tex]= \left(-\frac{2}{4} + \frac{1}{4} \right) \times \left(-\frac{2}{10} - \frac{1}{10} \right)[/tex]
[tex]= \left(-\frac{1}{4} \right) \times \left(-\frac{3}{10}\right)[/tex]
[tex]= \frac{3}{40}[/tex]
[tex]b. \: \left(-\frac{3}{5} - \frac{2}{3} \right) \div \left(\frac{1}{2} - (-\frac{3}{5}) \right)[/tex]
[tex]= \left(-\frac{9}{15} - \frac{10}{15} \right) \div \left(\frac{5}{10} + \frac{6}{10}\right)[/tex]
[tex]= -\frac{19}{15} \div \frac{11}{10}[/tex]
[tex]= -\frac{19}{15} \times \frac{10}{11}[/tex]
[tex]= -\frac{19}{3} \times \frac{2}{11}[/tex]
[tex]= -\frac{38}{33}[/tex]
[tex]= -1\frac{5}{33}[/tex]
[tex]c. \: -3\frac{2}{3} + \frac{3}{10} \times \left(-4\frac{1}{6}\right) + 1\frac{3}{4}[/tex]
[tex]= -\frac{11}{3} + \frac{3}{10} \times \left(-\frac{25}{6}\right) + \frac{7}{4}[/tex]
[tex]= -\frac{11}{3} - \frac{75}{60} + \frac{7}{4}[/tex]
[tex]= -\frac{44}{12} - \frac{15}{12} + \frac{21}{12}[/tex]
[tex]= -\frac{38}{12}[/tex]
[tex]= -\frac{19}{6}[/tex]
[tex]= -3\frac{1}{6}[/tex]
[tex]d. \: 4\frac{1}{5} \times \left(-6 \frac{3}{7}\right) + 5\frac{5}{8} \div 2\frac{1}{12} - 10\frac{7}{15}[/tex]
[tex]= \frac{21}{5} \times \left(-\frac{45}{7}\right) + \frac{45}{8} \div \frac{25}{12} - \frac{157}{15}[/tex]
[tex]= \frac{21}{5} \times \left(-\frac{45}{7}\right) + \frac{45}{8} \times \frac{12}{25} - \frac{157}{15}[/tex]
[tex]= \frac{3}{1} \times \left(-\frac{9}{1}\right) + \frac{9}{2} \times \frac{3}{5} - \frac{157}{15}[/tex]
[tex]= -27 + \frac{27}{10} - \frac{157}{15}[/tex]
[tex]= -\frac{810}{30} + \frac{81}{30} - \frac{314}{30}[/tex]
[tex]= -\frac{1.043}{30}[/tex]
[tex]= -34\frac{23}{30}[/tex]
Pelajari lebih lanjut
Materi tentang pecahan dalam soal cerita https://brainly.co.id/tugas/26275106
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