Perkalian dan Pembagian Pecahan
Soal 1
Jika \(\dfrac{2}{9}\times \dfrac{27}{32} = n\) maka nilai \(n\) adalah …
(A) \(\dfrac{1}{8}\)
(B) \(\dfrac{1}{16}\)
(C) \(\dfrac{3}{13}\)
(D) \(\dfrac{3}{16}\)
Jawaban: D
\(\dfrac{2}{\cancel{9}}\times \dfrac{\cancelto{3}{27}}{32} = \dfrac{6}{32} = \dfrac{3}{16}\)
Soal 2
\(\dfrac{3}{5}\div \dfrac{21}{40} = \dotso\)
(A) \(\dfrac{2}{5}\)
(B) \(\dfrac{3}{7}\)
(C) \(1\dfrac{1}{7}\)
(D) \(1\dfrac{2}{7}\)
Jawaban: C
\(\dfrac{3}{5}\div \dfrac{21}{40}\)
\(\dfrac{3}{\cancel{5}}\times \dfrac{\cancelto{8}{40}}{21}\)
\(\dfrac{24}{21} = 1\dfrac{3}{21} = 1\dfrac{1}{7}\)
Soal 3
\(2\dfrac{1}{3}\times \dfrac{6}{7} = \dotso\)
(A) \(2\)
(B) \(3\)
(C) \(4\)
(D) \(5\)
Jawaban: A
\(2\dfrac{1}{3}\times \dfrac{6}{7}\)
\(\dfrac{\cancel{7}}{3} \times \dfrac{6}{\cancel{7}}\)
\(\dfrac{6}{3} = 2\)
Soal 4
Jika \(\dfrac{4}{11} \div 4 = \text{Y}\), maka nilai \(\text{Y}\) adalah …
(A) \(\dfrac{1}{11}\)
(B) \(\dfrac{2}{11}\)
(C) \(8\)
(D) \(11\)
Jawaban: A
\(\dfrac{4}{11} \div 4\)
\(\dfrac{\cancel{4}}{11} \times \dfrac{1}{\cancel{4}}\)
\(\dfrac{1}{11}\)
Soal 5
Jika \(3\dfrac{3}{5} \div 1\dfrac{1}{2} = \text{X}\), maka nilai \(\text{X}\) adalah …
(A) \(1\dfrac{2}{5}\)
(B) \(2\dfrac{2}{5}\)
(C) \(2\dfrac{3}{5}\)
(D) \(3\dfrac{2}{5}\)
Jawaban: B
\(3\dfrac{3}{5} \div 1\dfrac{1}{2}\)
\(\dfrac{18}{5} \div \dfrac{3}{2}\)
\(\dfrac{\cancelto{6}{18}}{5} \times \dfrac{2}{\cancel{3}}\)
\(\dfrac{12}{5}\)
\(2\dfrac{2}{5}\)
Soal 6
Jika \(0,5 \times 7 = \text{M}\), maka nilai \(\text{M}\) adalah …
(A) \(2,5\)
(B) \(3,5\)
(C) \(4,5\)
(D) \(5,5\)
Jawaban: B
Soal 7
Jika \(3,5\times 2,2 = \text{N}\), maka nilai \(\text{N}\) adalah …
(A) \(6,7\)
(B) \(7,7\)
(C) \(8,7\)
(D) \(9,4\)
Jawaban: B
Soal 8
Jika \(5,28\times 4,5 = \text{W}\), maka nilai \(\text{W}\) adalah …
(A) \(20,67\)
(B) \(22,75\)
(C) \(23,76\)
(D) \(24,89\)
Jawaban: C
Soal 9
\(4,8 \div 6 = \dotso\)
(A) \(0,5\)
(B) \(0,6\)
(C) \(0,7\)
(D) \(0,8\)
Jawaban: D
Soal 10
\(1,44 \div 12 = \dotso\)
(A) \(0,012\)
(B) \(0,02\)
(C) \(0,12\)
(D) \(0,14\)
Jawaban: C
Soal 11
\(2\dfrac{3}{5} + \dfrac{5}{6} \times \dfrac{3}{10} = \dotso\)
(A) \(2\dfrac{13}{20}\)
(B) \(2\dfrac{17}{20}\)
(C) \(3\dfrac{17}{20}\)
(D) \(4\dfrac{1}{20}\)
Jawaban: B
Kerjakan bentuk perkalian terlebih dahulu,
\(2\dfrac{3}{5} + \dfrac{5}{6} \times \dfrac{3}{10}\)
\(2\dfrac{3}{5} + \dfrac{15}{60}\)
\(2\dfrac{3}{5} + \dfrac{1}{4}\)
\(2 + \dfrac{3}{5} + \dfrac{1}{4}\)
\(2 + \dfrac{12}{20} + \dfrac{5}{20}\)
\(2 + \dfrac{17}{20}\)
\(2\dfrac{17}{20}\)
Soal 12
\(\dfrac{5}{12} \div \dfrac{5}{6} \times \dfrac{4}{5} = \dotso\)
(A) \(\dfrac{1}{5}\)
(B) \(\dfrac{1}{7}\)
(C) \(\dfrac{2}{5}\)
(D) \(\dfrac{3}{5}\)
Jawaban: C
Kerjakan mulai dari pembagian kemudian perkalian,
\(\dfrac{5}{12} \div \dfrac{5}{6} \times \dfrac{4}{5}\)
\(\dfrac{5}{12} \times \dfrac{6}{5} \times \dfrac{4}{5}\)
\(\dfrac{30}{60}\times \dfrac{4}{5}\)
\(\dfrac{1}{2}\times \dfrac{4}{5}\)
\(\dfrac{4}{10} = \dfrac{2}{5}\)
Soal 13
Joni mempunyai botol minum yang berisi \(\dfrac{3}{5}\) liter air. Ia kemudian menuangkan \(\dfrac{1}{3}\) bagian dari air ke dalam mangkuk. Berapa liter air yang Joni tuangkan ke dalam mangkuk tersebut?
(A) \(\dfrac{1}{3}\)
(B) \(\dfrac{1}{4}\)
(C) \(\dfrac{1}{5}\)
(D) \(\dfrac{1}{6}\)
Jawaban: C
Volume air yang dituang ke dalam mangkuk = \(\dfrac{1}{\cancel{3}}\times \dfrac{\cancel{3}}{5} = \dfrac{1}{5}\) liter
Soal 14
Pak Tono masih mempunyai \(\dfrac{3}{4}\) bagian kue ulang tahun. Kue tersebut dibagi sama kepada 6 siswa. Berapa bagian kue yang akan diterima setiap siswa?
(A) \(\dfrac{1}{3}\)
(B) \(\dfrac{1}{5}\)
(C) \(\dfrac{1}{6}\)
(D) \(\dfrac{1}{8}\)
Jawaban: D
\(\dfrac{3}{4} \div 6\)
\(\dfrac{3}{4} \times \dfrac{1}{6}\)
\(\dfrac{3}{24} = \dfrac{1}{8}\)
Jadi, setiap siswa mendapat \(\dfrac{1}{8}\) bagian kue
Soal 15
Filan memiliki sebuah kotak yang berisi es krim dengan varian rasa vanilla dan strawberry. \(\dfrac{28}{40}\) es krim tersebut adalah es krim rasa vanilla. Filan kemudian memakan \(\dfrac{1}{4}\) bagian es krim vanilla tersebut. Berapa bagian sisa es krim rasa vanilla dalam kotak tersebut?
(A) \(\dfrac{11}{40}\text{ bagian}\)
(B) \(\dfrac{17}{40}\text{ bagian}\)
(C) \(\dfrac{19}{40}\text{ bagian}\)
(D) \(\dfrac{21}{40}\text{ bagian}\)
Jawaban: D
Es krim vanilla yang dimakan Filan sebanyak \(\dfrac{1}{\cancel{4}}\times \dfrac{\cancelto{7}{28}}{40} = \dfrac{7}{40} \text{ bagian}\)
Sisa es krim rasa vanilla dalam kotak:
\(\dfrac{28}{40}\:-\: \dfrac{7}{40}\)
\(\dfrac{21}{40}\text{ bagian}\)