Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year. When will they next both purchase new cars in the same year?

12 years

Step-by-step explanation:

Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.

Assuming that they purchase new cars together after n years.

So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.

As LCM od 4 and 6 is 12, so n=12.

Hence, after 12 years they will purchase news cars together.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b