Hasil penjumlahan pecahan berikut ini adalah:
1. [tex]\frac{1}{10}[/tex] + 3 [tex]\frac{4}{5}[/tex] + 1 [tex]\frac{4}{5}[/tex] = 5 [tex]\frac{7}{10}[/tex]
2. 1 [tex]\frac{2}{3}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{4}{7}[/tex] = 2 [tex]\frac{67}{105}[/tex]
3. 1 [tex]\frac{5}{12}[/tex] + [tex]\frac{3}{4}[/tex] + 1 [tex]\frac{1}{2}[/tex] = 3 [tex]\frac{8}{12}[/tex]
Penjelasan dengan langkah-langkah
- Diketahui: beberapa bilangan pecahan.
- Ditanya: Tentukan hasil operasi hitungnya!
- Jawab:
Langkah 1
No. 1
Ubah pecahan campuran menjadi pecahan biasa.
[tex]\frac{1}{10}[/tex] + 3 [tex]\frac{4}{5}[/tex] + 1 [tex]\frac{4}{5}[/tex]
3 [tex]\frac{4}{5}[/tex] = (5 x 3) + 4 = [tex]\frac{19}{5}[/tex]
1 [tex]\frac{4}{5}[/tex] = (5 x 1) + 4 = [tex]\frac{9}{5}[/tex]
Jadi, [tex]\frac{1}{10}[/tex] + 3 [tex]\frac{4}{5}[/tex] + 1 [tex]\frac{4}{5}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{19}{5}[/tex] + [tex]\frac{9}{5}[/tex]
= [tex]\frac{1}{10}[/tex] + [tex]\frac{38}{10}[/tex] + [tex]\frac{18}{10}[/tex]
= [tex]\frac{57}{10}[/tex] = 5 [tex]\frac{7}{10}[/tex]
Langkah 2
No. 2
1 [tex]\frac{2}{3}[/tex] = (3 x 1) + 2 = [tex]\frac{5}{3}[/tex]
1 [tex]\frac{2}{3}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{4}{7}[/tex] = [tex]\frac{5}{3}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{4}{7}[/tex]
= [tex]\frac{175}{105}[/tex] + [tex]\frac{42}{105}[/tex] + [tex]\frac{60}{105}[/tex]
= [tex]\frac{277}{105}[/tex] = 2 [tex]\frac{67}{105}[/tex]
Langkah 3
No. 3
1 [tex]\frac{5}{12}[/tex] + [tex]\frac{3}{4}[/tex] + 1 [tex]\frac{1}{2}[/tex]
1 [tex]\frac{5}{12}[/tex] = (12 x 1) + 5 = [tex]\frac{17}{12}[/tex]
1 [tex]\frac{1}{2}[/tex] = (2 x 1) + 1 = [tex]\frac{3}{2}[/tex]
1 [tex]\frac{5}{12}[/tex] + [tex]\frac{3}{4}[/tex] + 1 [tex]\frac{1}{2}[/tex] = [tex]\frac{17}{12}[/tex] + [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{2}[/tex]
= [tex]\frac{17}{12}[/tex] + [tex]\frac{9}{12}[/tex] + [tex]\frac{18}{12}[/tex]
= [tex]\frac{44}{12}[/tex] = 3 [tex]\frac{8}{12}[/tex]
Pelajari lebih lanjut
Materi tentang pecahan: https://brainly.co.id/tugas/51939300
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