tolong di jawabbbbbbb
Penjelasan dengan langkah-langkah:
jam ke satu : 25 menit sekali
jam ke dua : 45 menit sekali
jam ke tiga : 30 menit sekali
maka :
= 2 × 3² × 5²
= 2 × 9 × 25
= 50 × 9
= 450
maka, jam akan berdering bersama sama setelah 450 menit (7 jam 30 menit)
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- Diketahui :
jam Pertama = 25 menit
jam kedua = 45 menit
jam ketiga = 30 menit
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- Ditanya :
Pada jam keberapa jam Astri berdering bersama ?
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- Jawab :
Cari KPK 25,45 dan 30
[tex] \begin{gathered} \boxed{ \boxed{ \begin{aligned} \orange{ \underline{ \pink{ \rm{Mencari ~KPK}}}} \\ \bf{25} \: \sf{ = {5}^{2} } \\ \sf{ = 5 \times 5} \\ \\ \bf{45} \: \sf{ = {3}^{2} \times 5} \\ \sf{ = 3 \times 3 \times 5} \\ \sf{ = 9 \times 5} \\ \\ \bf{} \: \sf{ = 2 \times 3 \times 5} \\ \sf{6 \times 5} \\ \\ \bf{KPK} \: \sf{ = 2 \times {3}^{2} \times {5}^{2} } \\ \sf{ = 2 \times 3 \times 3 \times 5 \times 5} \\ \sf{ = 2 \times 9 \times 25} \\ \sf{ = 18 \times 25} \\ \sf{ = \underline{ \red{ 450}}}\end{aligned}}} \end{gathered}[/tex]
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450 menit = 7 Jam lebih 30 menit
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- Kesimpulan :
jam Astri akan berdering bersama pada 450 menit atau 7 jam lebih 30 menit
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