Isilah titik-titik dengan jawaban yang tepat!
a. ¼ + ½ - ⅛ = ⅝
b. [tex] \frac{4}{7} - \frac{1}{4} \div \frac{1}{2} [/tex][tex] = \frac{1}{14} [/tex]
c. ⅔ + ⅐ : 0,6[tex] = \frac{19}{21} [/tex]
d. 0,6 + ½ : (⅔ - 0,25) × 0,8[tex] = 1 \frac{14}{25} [/tex] atau 1,56
e. 0,75 + ⅔ × 8[tex] = 6 \frac{1}{60} [/tex]
Penjelasan dengan langkah-langkah:Pada operasi hitung campuran bilangan pecahan, dahulukan operasi hitung yang terdapat dalam kurung, kemudian perkalian dan pembagian, yang terakhir penjumlahan dan pengurangan secara berurutan.
Penyelesaian:
Soal a
¼ + ½ - ⅛
[tex] = \frac{2}{8} + \frac{4}{8} - \frac{1}{8} [/tex]
[tex] = \frac{5}{8} [/tex]
Soal b
[tex] \frac{4}{7} - \frac{1}{4} \div \frac{1}{2} [/tex]
[tex] = \frac{4}{7} - ( \frac{1}{4} \times \frac{2}{1} )[/tex]
[tex] = \frac{4}{7} - \frac{1}{2} [/tex]
[tex] = \frac{8 - 7}{14} [/tex]
[tex] = \frac{1}{14} [/tex]
Soal c
⅔ + ⅐ : 0,6
[tex] = \frac{2}{3} + ( \frac{1}{7} \div \frac{6}{10} )[/tex]
[tex] = \frac{2}{3} + ( \frac{1}{7} \times \frac{10}{6} )[/tex]
[tex] = \frac{2}{3} + \frac{10}{42} [/tex]
[tex] = \frac{28 + 10}{42} [/tex]
[tex] = \frac{38}{42} [/tex]
[tex] = \frac{19}{21} [/tex]
Soal d
0,6 + ½ : (⅔ - 0,25) × 0,8
[tex] = \frac{6}{10} + \frac{1}{2} \div ( \frac{2}{3} - \frac{25}{100} ) \times \frac{8}{10} [/tex]
[tex] = \frac{6}{10} + \frac{1}{2} \div ( \frac{200 - 75}{300} ) \times \frac{8}{10} [/tex]
[tex] = \frac{6}{10} + ( \frac{1}{2} \div \frac{125}{300} \times \frac{8}{10} )[/tex]
[tex] = \frac{6}{10} + ( \frac{1}{2} \times \frac{300}{125} \times \frac{8}{10} )[/tex]
[tex] = \frac{6}{10} + \frac{120}{125} [/tex]
[tex] = \frac{150 + 240}{250} [/tex]
[tex] = \frac{390}{250} [/tex]
[tex] = 1 \frac{14}{25} [/tex]
= 1,56
Soal e
0,75 + ⅔ × 8
[tex] = \frac{75}{100} + ( \frac{2}{3} \times \frac{8}{1} )[/tex]
[tex] = \frac{75}{100} + \frac{16}{3} [/tex]
[tex] = \frac{225}{300} + \frac{1600}{300} [/tex]
[tex] = \frac{1825}{300} [/tex]
[tex] = 6 \frac{25}{300} [/tex]
[tex] = 6 \frac{1}{60} [/tex]
Pelajari lebih lanjut
- Materi tentang operasi hitung pecahan => https://brainly.co.id/tugas/22606919
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