How do i write 8 1/6 divided by 2 1/24 in simplest form?

The simplest form is   or 4

Solution:

Given, divided by  

we get,

When two terms are in division, we have to reciprocate the second term,

The reciprocal of

Substituting the reciprocal form of in the equation we get,

On dividing the possible terms we get,

The simplest form of the given value is or 4

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb