Menjelaskan Konsep Pecahan dan Menghitung Hasil Operasi Pecahan
Pecahan adalah bagian dari bilangan yang terdiri dari pembilang dan penyebut. Dalam matematika, kita sering menggunakan pecahan untuk mewakili bagian dari suatu keseluruhan. Dalam artikel ini, kita akan menjelaskan konsep pecahan dan bagaimana menghitung hasil operasi pecahan. Pertama, mari kita bahas operasi perkalian pecahan. Misalnya, kita memiliki pecahan $1\frac {-}{4}$ dan $2\frac {-}{5}$. Untuk mengalikan pecahan, kita perlu mengalikan pembilang dengan pembilang dan penyebut dengan penyebut. Jadi, $1\frac {-}{4}\times 2\frac {-}{5}$ dapat dihitung sebagai berikut: $1\frac {-}{4}\times 2\frac {-}{5} = \frac {1}{4}\times \frac {2}{5} = \frac {1\times 2}{4\times 5} = \frac {2}{20} = \frac {1}{10}$ Dalam contoh ini, kita mendapatkan hasil $\frac {1}{10}$ dari perkalian pecahan tersebut. Selanjutnya, kita akan mencari nilai $a-4b$ dari pecahan tersebut. Dalam hal ini, $a$ adalah pembilang dari pecahan $\frac {1}{10}$ dan $b$ adalah penyebutnya. Karena FPB (a, b) = 1, kita dapat mengasumsikan bahwa a dan b adalah bilangan prima. Jadi, $a-4b$ dapat dihitung sebagai berikut: $a-4b = 1-4\times 10 = 1-40 = -39$ Jadi, nilai $a-4b$ dari pecahan $\frac {1}{10}$ adalah -39. Selanjutnya, mari kita bahas operasi pembagian pecahan. Misalnya, kita memiliki pecahan $\frac {4}{5}$ dan $1\frac {3}{7}$. Untuk membagi pecahan, kita perlu mengalikan pecahan pertama dengan kebalikan pecahan kedua. 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