Question

Divide 2430 by 9. then divide the quotient by 6. choose two different methods to find the answer?

Answer 1

45

Explanation:

2430 divided by 9 = 270

270 divided by 6 = 45

you can do regular division or long division

Answer 2

45

EXPLANATION

Method 1

First we perform the division:

`(2430)/(9)`

We then express both the numerator and the denominator as product of primes.

`\frac{2 * {3}^(5) * 5 }{ {3}^(2) }`

Cancel the common factors to get:

`2 * {3}^(5 - 2) *5`

The quotient is

`2 * {3}^(3) *5`

We again divide the quotient by 6 to get,

`\frac{2 * {3}^(3) *5}{6} = \frac{2 * {3}^(3) *5}{2 * 3} = {3}^(2) * 5 = 45`

Method 2:

`(2430)/(9) / 6 = (2430)/(9* 6) = \frac{2 * {3}^(5) *5}{ {3}^(3) * 2} = 45`