Answer:
45
Step-by-step explanation:
2430 divided by 9 = 270
270 divided by 6 = 45
you can do regular division or long division
ANSWER
45
EXPLANATION
Method 1
First we perform the division:
[tex] \frac{2430}{9} [/tex]
We then express both the numerator and the denominator as product of primes.
[tex] \frac{2 \times {3}^{5} \times 5 }{ {3}^{2} }[/tex]
Cancel the common factors to get:
[tex]2 \times {3}^{5 - 2} \times5[/tex]
The quotient is
[tex]2 \times {3}^{3} \times5[/tex]
We again divide the quotient by 6 to get,
[tex] \frac{2 \times {3}^{3} \times5}{6} = \frac{2 \times {3}^{3} \times5}{2 \times 3} = {3}^{2} \times 5 = 45[/tex]
Method 2:
[tex] \frac{2430}{9} \div 6 = \frac{2430}{9\times 6} = \frac{2 \times {3}^{5} \times5}{ {3}^{3} \times 2} = 45[/tex]
