A Bell at provident school ring every 12 minutes and a bell from soaring school rings every 18 minutes.if…

Question

A Bell at provident school ring every 12 minutes and a bell from soaring school rings every 18 minutes.if both bells rang together at 8:20am after how many minutes will they ring together

ScanSolve AI Tutor · Accepted Answer

Ili kujua baada ya muda gani kengele zitalia pamoja tena, tunahitaji kupata Kigawo Kidogo Zaidi cha Pamoja (LCM) cha nyakati zao za kulia.

Tafuta vigawo vikuu vya kila nambari.
Kwa dakika 12:
$12 = 2 \times 6 = 2 \times 2 \times 3 = 2^2 \times 3^1$
Kwa dakika 18:
$18 = 2 \times 9 = 2 \times 3 \times 3 = 2^1 \times 3^2$
Pata LCM kwa kuchukua nguvu ya juu zaidi ya kila kigawo kikuu kinachoonekana katika vigawo vyote.
$\text{LCM}(12, 18) = 2^{\max(2,1)} \times 3^{\max(1,2)}$ $\text{LCM}(12, 18) = 2^2 \times 3^2$ $\text{LCM}(12, 18) = 4 \times 9$ $\text{LCM}(12, 18) = 36$
Hii inamaanisha kengele zitalia pamoja tena baada ya dakika 36.

Jibu ni dakika 36.
$\text{Dakika 36}$

A Bell at provident school ring every 12 minutes and a bell from soaring school rings every 18 minutes.if both bells rang together at 8:20am after how many minutes will they ring together

Answer

Step-by-step solution

Tafuta vigawo vikuu vya kila nambari.

Pata LCM kwa kuchukua nguvu ya juu zaidi ya kila kigawo kikuu kinachoonekana katika vigawo vyote.

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