Question

divide.
216 ÷ 24

Explanation:

Step1: Simplify the division

We can simplify the division \(216\div24\) by dividing both the numerator and the denominator by their greatest common divisor. First, find the GCD of 216 and 24. The factors of 24 are \(1, 2, 3, 4, 6, 8, 12, 24\) and the factors of 216 are \(1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216\). The GCD is 24? Wait, no, wait. Wait, 24 times 9 is 216? Wait, 24\times9 = 216? Let's check: 24\times9 = (20 + 4)\times9=20\times9+4\times9 = 180 + 36=216. So we can directly divide.

Alternatively, we can rewrite \(216\div24\) as \(\frac{216}{24}\). Divide numerator and denominator by 12: \(\frac{216\div12}{24\div12}=\frac{18}{2} = 9\).

Step2: Verify the result

We can verify by multiplying the quotient by the divisor: \(9\times24 = 216\), which matches the dividend. So the result is 9.

Answer:

\(9\)